Search a number
-
+
156413376 = 2633767193
BaseRepresentation
bin10010101001010…
…10110111000000
3101220022121211000
421110222313000
5310020212001
623304252000
73606330450
oct1124526700
9356277730
10156413376
1180322759
1244471000
13265360c2
1416ab7d60
15dae9a86
hex952adc0

156413376 has 224 divisors, whose sum is σ = 536122880. Its totient is φ = 43794432.

The previous prime is 156413359. The next prime is 156413381. The reversal of 156413376 is 673314651.

156413376 is a `hidden beast` number, since 1 + 5 + 641 + 3 + 3 + 7 + 6 = 666.

156413376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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 156413376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810336 + ... + 810528.

Almost surely, 2156413376 is an apocalyptic number.

156413376 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 156413376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268061440).

156413376 is an abundant number, since it is smaller than the sum of its proper divisors (379709504).

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

156413376 is a wasteful number, since it uses less digits than its factorization.

156413376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 272 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 156413376 is about 12506.5333326226. The cubic root of 156413376 is about 538.7963313424.

The spelling of 156413376 in words is "one hundred fifty-six million, four hundred thirteen thousand, three hundred seventy-six".