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157877040 = 24352812341
BaseRepresentation
bin10010110100100…
…00001100110000
3102000001222120210
421122100030300
5310404031130
623355504120
73624634626
oct1132201460
9360058523
10157877040
11811323a2
1244a58040
1326929389
1416d79516
15dcd85b0
hex9690330

157877040 has 80 divisors (see below), whose sum is σ = 491370336. Its totient is φ = 41932800.

The previous prime is 157877029. The next prime is 157877053. The reversal of 157877040 is 40778751.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 157877040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66270 + ... + 68610.

Almost surely, 2157877040 is an apocalyptic number.

157877040 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 157877040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245685168).

157877040 is an abundant number, since it is smaller than the sum of its proper divisors (333493296).

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

157877040 is a wasteful number, since it uses less digits than its factorization.

157877040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

The square root of 157877040 is about 12564.9130518281. The cubic root of 157877040 is about 540.4717414041.

The spelling of 157877040 in words is "one hundred fifty-seven million, eight hundred seventy-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 281 562 843 1124 1405 1686 2248 2341 2810 3372 4215 4496 4682 5620 6744 7023 8430 9364 11240 11705 13488 14046 16860 18728 22480 23410 28092 33720 35115 37456 46820 56184 67440 70230 93640 112368 140460 187280 280920 561840 657821 1315642 1973463 2631284 3289105 3946926 5262568 6578210 7893852 9867315 10525136 13156420 15787704 19734630 26312840 31575408 39469260 52625680 78938520 157877040