Search a number
-
+
156123936 = 2534293167
BaseRepresentation
bin10010100111001…
…00001100100000
3101212202220210000
421103210030200
5304431431221
623254140000
73604013553
oct1123441440
9355686700
10156123936
1180145251
1244351600
1326464437
1416a4069a
15da8de26
hex94e4320

156123936 has 240 divisors, whose sum is σ = 497629440. Its totient is φ = 47900160.

The previous prime is 156123871. The next prime is 156123953. The reversal of 156123936 is 639321651.

156123936 is a `hidden beast` number, since 1 + 5 + 612 + 3 + 9 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 156123936.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2330175 + ... + 2330241.

It is an arithmetic number, because the mean of its divisors is an integer number (2073456).

Almost surely, 2156123936 is an apocalyptic number.

156123936 is a gapful number since it is divisible by the number (16) 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 156123936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248814720).

156123936 is an abundant number, since it is smaller than the sum of its proper divisors (341505504).

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

156123936 is a wasteful number, since it uses less digits than its factorization.

156123936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 156123936 is about 12494.9564224930. The cubic root of 156123936 is about 538.4637819854.

The spelling of 156123936 in words is "one hundred fifty-six million, one hundred twenty-three thousand, nine hundred thirty-six".