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1980794352 = 243317118749
BaseRepresentation
bin111011000010000…
…1000010111110000
312010001012210000210
41312010020113300
513024040404402
6524315144120
7100041321435
oct16604102760
95101183023
101980794352
1192711a129
12473445040
132574b1684
1414b0d9b8c
15b8d6c06c
hex761085f0

1980794352 has 80 divisors (see below), whose sum is σ = 5356800000. Its totient is φ = 629932800.

The previous prime is 1980794351. The next prime is 1980794399. The reversal of 1980794352 is 2534970891.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980794351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96274 + ... + 115022.

It is an arithmetic number, because the mean of its divisors is an integer number (66960000).

Almost surely, 21980794352 is an apocalyptic number.

1980794352 is a gapful number since it is divisible by the number (12) 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 1980794352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678400000).

1980794352 is an abundant number, since it is smaller than the sum of its proper divisors (3376005648).

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

1980794352 is a wasteful number, since it uses less digits than its factorization.

1980794352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18862 (or 18856 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 1980794352 is about 44506.1158943352. The cubic root of 1980794352 is about 1255.8751380332.

The spelling of 1980794352 in words is "one billion, nine hundred eighty million, seven hundred ninety-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 71 93 124 142 186 213 248 284 372 426 496 568 744 852 1136 1488 1704 2201 3408 4402 6603 8804 13206 17608 18749 26412 35216 37498 52824 56247 74996 105648 112494 149992 224988 299984 449976 581219 899952 1162438 1331179 1743657 2324876 2662358 3487314 3993537 4649752 5324716 6974628 7987074 9299504 10649432 13949256 15974148 21298864 27898512 31948296 41266549 63896592 82533098 123799647 165066196 247599294 330132392 495198588 660264784 990397176 1980794352