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157998240 = 25325109721
BaseRepresentation
bin10010110101011…
…01110010100000
3102000022010211200
421122231302200
5310421420430
623402241200
73625651161
oct1132556240
9360263750
10157998240
1181205464
1244ab6200
132696c5aa
1416dab768
15dd0e460
hex96adca0

157998240 has 72 divisors (see below), whose sum is σ = 539173908. Its totient is φ = 42132480.

The previous prime is 157998223. The next prime is 157998241. The reversal of 157998240 is 42899751.

It can be written as a sum of positive squares in 2 ways, for example, as 155451024 + 2547216 = 12468^2 + 1596^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (157998241) 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, 53421 + ... + 56300.

Almost surely, 2157998240 is an apocalyptic number.

157998240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157998240 is an abundant number, since it is smaller than the sum of its proper divisors (381175668).

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

157998240 is a wasteful number, since it uses less digits than its factorization.

157998240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109742 (or 109731 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 157998240 is about 12569.7350807406. The cubic root of 157998240 is about 540.6100102318.

The spelling of 157998240 in words is "one hundred fifty-seven million, nine hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 109721 219442 329163 438884 548605 658326 877768 987489 1097210 1316652 1645815 1755536 1974978 2194420 2633304 3291630 3511072 3949956 4388840 4937445 5266608 6583260 7899912 8777680 9874890 10533216 13166520 15799824 17555360 19749780 26333040 31599648 39499560 52666080 78999120 157998240