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157152740 = 22529270953
BaseRepresentation
bin10010101110111…
…11010111100100
3101221201012000212
421113133113210
5310212341430
623332154552
73615530153
oct1127372744
9357635025
10157152740
11807881a8
1244768a58
13267347b4
1416c2b59a
15dbe3b95
hex95df5e4

157152740 has 24 divisors (see below), whose sum is σ = 341402040. Its totient is φ = 60693248.

The previous prime is 157152739. The next prime is 157152823. The reversal of 157152740 is 47251751.

157152740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1444 + 157151296 = 38^2 + 12536^2 .

It is a junction number, because it is equal to n+sod(n) for n = 157152697 and 157152706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134897 + ... + 136056.

It is an arithmetic number, because the mean of its divisors is an integer number (14225085).

Almost surely, 2157152740 is an apocalyptic number.

157152740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157152740 is an abundant number, since it is smaller than the sum of its proper divisors (184249300).

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

157152740 is a wasteful number, since it uses less digits than its factorization.

157152740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270991 (or 270989 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 32.

The square root of 157152740 is about 12536.0575939966. The cubic root of 157152740 is about 539.6439582586.

The spelling of 157152740 in words is "one hundred fifty-seven million, one hundred fifty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 270953 541906 1083812 1354765 2709530 5419060 7857637 15715274 31430548 39288185 78576370 157152740