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157994640 = 24325219437
BaseRepresentation
bin10010110101011…
…00111010010000
3102000021221220100
421122230322100
5310421312030
623402212400
73625634526
oct1132547220
9360257810
10157994640
1181202791
1244ab4100
132696aa6b
1416daa316
15dd0d360
hex96ace90

157994640 has 60 divisors (see below), whose sum is σ = 530601084. Its totient is φ = 42131712.

The previous prime is 157994623. The next prime is 157994647. The reversal of 157994640 is 46499751.

It can be written as a sum of positive squares in 2 ways, for example, as 29942784 + 128051856 = 5472^2 + 11316^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (157994647) 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 11 ways as a sum of consecutive naturals, for example, 108999 + ... + 110438.

Almost surely, 2157994640 is an apocalyptic number.

157994640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157994640 is an abundant number, since it is smaller than the sum of its proper divisors (372606444).

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

157994640 is a wasteful number, since it uses less digits than its factorization.

157994640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219456 (or 219447 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 157994640 is about 12569.5918788161. The cubic root of 157994640 is about 540.6059042561.

The spelling of 157994640 in words is "one hundred fifty-seven million, nine hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 219437 438874 658311 877748 1097185 1316622 1755496 1974933 2194370 2633244 3291555 3510992 3949866 4388740 5266488 6583110 7899732 8777480 9874665 10532976 13166220 15799464 17554960 19749330 26332440 31598928 39498660 52664880 78997320 157994640