Search a number
-
+
151960512 = 26311231211
BaseRepresentation
bin10010000111010…
…11101111000000
3101120221101122010
421003223233000
5302400214022
623025012520
73523433364
oct1103535700
9346841563
10151960512
1178861200
1242a84140
1325637382
14162792a4
15d51a50c
hex90ebbc0

151960512 has 168 divisors, whose sum is σ = 458354176. Its totient is φ = 44352000.

The previous prime is 151960483. The next prime is 151960513. The reversal of 151960512 is 215069151.

It is a self number, because there is not a number n which added to its sum of digits gives 151960512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151960513) 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 23 ways as a sum of consecutive naturals, for example, 720087 + ... + 720297.

Almost surely, 2151960512 is an apocalyptic number.

151960512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151960512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229177088).

151960512 is an abundant number, since it is smaller than the sum of its proper divisors (306393664).

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

151960512 is a wasteful number, since it uses less digits than its factorization.

151960512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 30.

The square root of 151960512 is about 12327.2264520451. The cubic root of 151960512 is about 533.6341108978.

The spelling of 151960512 in words is "one hundred fifty-one million, nine hundred sixty thousand, five hundred twelve".