Search a number
-
+
132525456 = 24371920759
BaseRepresentation
bin1111110011000…
…10110110010000
3100020100222202020
413321202312100
5232411303311
621052251440
73166306410
oct771426620
9306328666
10132525456
1168897378
1238470b80
13215c113b
141385a640
15b97bc06
hex7e62d90

132525456 has 80 divisors (see below), whose sum is σ = 411878400. Its totient is φ = 35869824.

The previous prime is 132525451. The next prime is 132525457. The reversal of 132525456 is 654525231.

It is not an unprimeable number, because it can be changed into a prime (132525451) 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, 3996 + ... + 16763.

It is an arithmetic number, because the mean of its divisors is an integer number (5148480).

Almost surely, 2132525456 is an apocalyptic number.

132525456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132525456 is an abundant number, since it is smaller than the sum of its proper divisors (279352944).

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

132525456 is a wasteful number, since it uses less digits than its factorization.

132525456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20796 (or 20790 counting only the distinct ones).

The product of its digits is 36000, while the sum is 33.

The square root of 132525456 is about 11511.9701180988. The cubic root of 132525456 is about 509.8390572514.

The spelling of 132525456 in words is "one hundred thirty-two million, five hundred twenty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 20759 41518 62277 83036 124554 145313 166072 249108 290626 332144 394421 435939 498216 581252 788842 871878 996432 1162504 1183263 1577684 1743756 2325008 2366526 2760947 3155368 3487512 4733052 5521894 6310736 6975024 8282841 9466104 11043788 16565682 18932208 22087576 33131364 44175152 66262728 132525456