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816982140 = 2235131955127
BaseRepresentation
bin110000101100100…
…010100001111100
32002221021222210210
4300230202201330
53133121412030
6213022432420
726150143062
oct6054424174
92087258723
10816982140
1138a18a857
121a9732710
1310034a7b0
147a70a032
154bacdbb0
hex30b2287c

816982140 has 96 divisors (see below), whose sum is σ = 2593221120. Its totient is φ = 190515456.

The previous prime is 816982097. The next prime is 816982151. The reversal of 816982140 is 41289618.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12744 + ... + 42383.

It is an arithmetic number, because the mean of its divisors is an integer number (27012720).

Almost surely, 2816982140 is an apocalyptic number.

It is an amenable number.

816982140 is an abundant number, since it is smaller than the sum of its proper divisors (1776238980).

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

816982140 is a wasteful number, since it uses less digits than its factorization.

816982140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55171 (or 55169 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 816982140 is about 28582.8994330526. The cubic root of 816982140 is about 934.8405039312.

It can be divided in two parts, 81698 and 2140, that added together give a palindrome (83838).

The spelling of 816982140 in words is "eight hundred sixteen million, nine hundred eighty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 4940 7410 14820 55127 110254 165381 220508 275635 330762 551270 661524 716651 826905 1047413 1102540 1433302 1653810 2094826 2149953 2866604 3142239 3307620 3583255 4189652 4299906 5237065 6284478 7166510 8599812 10474130 10749765 12568956 13616369 14333020 15711195 20948260 21499530 27232738 31422390 40849107 42999060 54465476 62844780 68081845 81698214 136163690 163396428 204245535 272327380 408491070 816982140