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157198440 = 23357187141
BaseRepresentation
bin10010101111010…
…10100001101000
3101221210111201110
421113222201220
5310220322230
623333150320
73616110330
oct1127524150
9357714643
10157198440
1180809573
124478b3a0
132674c539
1416c400c0
15dc024b0
hex95ea868

157198440 has 64 divisors (see below), whose sum is σ = 538968960. Its totient is φ = 35930880.

The previous prime is 157198423. The next prime is 157198451. The reversal of 157198440 is 44891751.

It is a super-2 number, since 2×1571984402 = 49422699076867200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 92731 + ... + 94410.

It is an arithmetic number, because the mean of its divisors is an integer number (8421390).

Almost surely, 2157198440 is an apocalyptic number.

157198440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157198440 is an abundant number, since it is smaller than the sum of its proper divisors (381770520).

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

157198440 is a wasteful number, since it uses less digits than its factorization.

157198440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187162 (or 187158 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 157198440 is about 12537.8802036070. The cubic root of 157198440 is about 539.6962626574.

The spelling of 157198440 in words is "one hundred fifty-seven million, one hundred ninety-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 187141 374282 561423 748564 935705 1122846 1309987 1497128 1871410 2245692 2619974 2807115 3742820 3929961 4491384 5239948 5614230 6549935 7485640 7859922 10479896 11228460 13099870 15719844 19649805 22456920 26199740 31439688 39299610 52399480 78599220 157198440