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1980183040 = 29511193701
BaseRepresentation
bin111011000000111…
…0011001000000000
312010000001201110121
41312001303020000
513023411324130
6524254110024
7100033164253
oct16601631000
95100051417
101980183040
11926841910
124731ab314
13257329354
1414adbb09a
15b8c9ad7a
hex76073200

1980183040 has 160 divisors (see below), whose sum is σ = 5453490240. Its totient is φ = 681984000.

The previous prime is 1980182987. The next prime is 1980183047. The reversal of 1980183040 is 403810891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×19801830402 = 7842249743807283200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1980182987 and 1980183005.

It is not an unprimeable number, because it can be changed into a prime (1980183047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533190 + ... + 536890.

It is an arithmetic number, because the mean of its divisors is an integer number (34084314).

Almost surely, 21980183040 is an apocalyptic number.

1980183040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1980183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726745120).

1980183040 is an abundant number, since it is smaller than the sum of its proper divisors (3473307200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1980183040 is a wasteful number, since it uses less digits than its factorization.

1980183040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 1980183040 is about 44499.2476340893. The cubic root of 1980183040 is about 1255.7459288375.

The spelling of 1980183040 in words is "one billion, nine hundred eighty million, one hundred eighty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 128 152 160 176 190 209 220 256 304 320 352 380 418 440 512 608 640 704 760 836 880 1045 1216 1280 1408 1520 1672 1760 2090 2432 2560 2816 3040 3344 3520 3701 4180 4864 5632 6080 6688 7040 7402 8360 9728 12160 13376 14080 14804 16720 18505 24320 26752 28160 29608 33440 37010 40711 48640 53504 59216 66880 70319 74020 81422 107008 118432 133760 140638 148040 162844 203555 236864 267520 281276 296080 325688 351595 407110 473728 535040 562552 592160 651376 703190 773509 814220 947456 1125104 1184320 1302752 1406380 1547018 1628440 1894912 2250208 2368640 2605504 2812760 3094036 3256880 3867545 4500416 4737280 5211008 5625520 6188072 6513760 7735090 9000832 9474560 10422016 11251040 12376144 13027520 15470180 18001664 20844032 22502080 24752288 26055040 30940360 36003328 45004160 49504576 52110080 61880720 90008320 99009152 104220160 123761440 180016640 198018304 247522880 396036608 495045760 990091520 1980183040