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1980139360 = 25537536311
BaseRepresentation
bin111011000000110…
…1000011101100000
312002222222111112211
41312001220131200
513023403424420
6524253131504
7100032623023
oct16601503540
95088874484
101980139360
11926812011
12473189b94
132573124c4
1414ada91ba
15b8c8ce5a
hex76068760

1980139360 has 96 divisors (see below), whose sum is σ = 4895940672. Its totient is φ = 755988480.

The previous prime is 1980139331. The next prime is 1980139363. The reversal of 1980139360 is 639310891.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1980139363) 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, 310605 + ... + 316915.

It is an arithmetic number, because the mean of its divisors is an integer number (50999382).

Almost surely, 21980139360 is an apocalyptic number.

1980139360 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 1980139360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447970336).

1980139360 is an abundant number, since it is smaller than the sum of its proper divisors (2915801312).

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

1980139360 is a wasteful number, since it uses less digits than its factorization.

1980139360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6416 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 1980139360 is about 44498.7568365679. The cubic root of 1980139360 is about 1255.7366954511.

The spelling of 1980139360 in words is "one billion, nine hundred eighty million, one hundred thirty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 53 74 80 106 148 160 185 212 265 296 370 424 530 592 740 848 1060 1184 1480 1696 1961 2120 2960 3922 4240 5920 6311 7844 8480 9805 12622 15688 19610 25244 31376 31555 39220 50488 62752 63110 78440 100976 126220 156880 201952 233507 252440 313760 334483 467014 504880 668966 934028 1009760 1167535 1337932 1672415 1868056 2335070 2675864 3344830 3736112 4670140 5351728 6689660 7472224 9340280 10703456 12375871 13379320 18680560 24751742 26758640 37361120 49503484 53517280 61879355 99006968 123758710 198013936 247517420 396027872 495034840 990069680 1980139360