Search a number
-
+
157263012 = 22337120509
BaseRepresentation
bin10010101111110…
…10010010100100
3101221220210022000
421113322102210
5310224404022
623334405300
73616466514
oct1127722244
9357823260
10157263012
1180853035
1244800830
1326772a4a
1416c59844
15dc166ac
hex95fa4a4

157263012 has 48 divisors (see below), whose sum is σ = 413481600. Its totient is φ = 51680160.

The previous prime is 157262953. The next prime is 157263013. The reversal of 157263012 is 210362751.

It is a happy number.

157263012 is a `hidden beast` number, since 15 + 7 + 2 + 630 + 12 = 666.

157263012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (157263013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2587 + ... + 17922.

It is an arithmetic number, because the mean of its divisors is an integer number (8614200).

Almost surely, 2157263012 is an apocalyptic number.

157263012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157263012 is an abundant number, since it is smaller than the sum of its proper divisors (256218588).

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

157263012 is a wasteful number, since it uses less digits than its factorization.

157263012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20593 (or 20585 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 157263012 is about 12540.4550156683. The cubic root of 157263012 is about 539.7701490915.

It can be divided in two parts, 157 and 263012, that added together give a square (263169 = 5132).

The spelling of 157263012 in words is "one hundred fifty-seven million, two hundred sixty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 852 1278 1917 2556 3834 7668 20509 41018 61527 82036 123054 184581 246108 369162 553743 738324 1107486 1456139 2214972 2912278 4368417 5824556 8736834 13105251 17473668 26210502 39315753 52421004 78631506 157263012