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146956056 = 233133311423
BaseRepresentation
bin10001100001001…
…01111100011000
3101020112010210220
420300211330120
5300110043211
622325440040
73433051212
oct1060457430
9336463726
10146956056
1175a53295
1241270020
13245a4560
14157355b2
15cd7c806
hex8c25f18

146956056 has 64 divisors (see below), whose sum is σ = 397125120. Its totient is φ = 45048960.

The previous prime is 146956049. The next prime is 146956057. The reversal of 146956056 is 650659641.

It is a junction number, because it is equal to n+sod(n) for n = 146955999 and 146956017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146956057) 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, 102561 + ... + 103983.

It is an arithmetic number, because the mean of its divisors is an integer number (6205080).

Almost surely, 2146956056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146956056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198562560).

146956056 is an abundant number, since it is smaller than the sum of its proper divisors (250169064).

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

146956056 is a wasteful number, since it uses less digits than its factorization.

146956056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 146956056 is about 12122.5432975098. The cubic root of 146956056 is about 527.7106139200.

The spelling of 146956056 in words is "one hundred forty-six million, nine hundred fifty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 331 662 993 1324 1423 1986 2648 2846 3972 4269 4303 5692 7944 8538 8606 11384 12909 17076 17212 18499 25818 34152 34424 36998 51636 55497 73996 103272 110994 147992 221988 443976 471013 942026 1413039 1884052 2826078 3768104 5652156 6123169 11304312 12246338 18369507 24492676 36739014 48985352 73478028 146956056