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132818976 = 25321972341
BaseRepresentation
bin1111110101010…
…10100000100000
3100020220220101100
413322222200200
5233000201401
621102434400
73201641223
oct772524040
9306826340
10132818976
1168a77954
1238592a00
1321694914
14138d55ba
15b9d8b86
hex7eaa820

132818976 has 72 divisors (see below), whose sum is σ = 379783404. Its totient is φ = 44029440.

The previous prime is 132818953. The next prime is 132818981. The reversal of 132818976 is 679818231.

It can be written as a sum of positive squares in 2 ways, for example, as 112784400 + 20034576 = 10620^2 + 4476^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55566 + ... + 57906.

Almost surely, 2132818976 is an apocalyptic number.

132818976 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 132818976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189891702).

132818976 is an abundant number, since it is smaller than the sum of its proper divisors (246964428).

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

132818976 is a wasteful number, since it uses less digits than its factorization.

132818976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554 (or 2543 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 132818976 is about 11524.7115365201. The cubic root of 132818976 is about 510.2151802475.

The spelling of 132818976 in words is "one hundred thirty-two million, eight hundred eighteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 197 288 394 591 788 1182 1576 1773 2341 2364 3152 3546 4682 4728 6304 7023 7092 9364 9456 14046 14184 18728 18912 21069 28092 28368 37456 42138 56184 56736 74912 84276 112368 168552 224736 337104 461177 674208 922354 1383531 1844708 2767062 3689416 4150593 5534124 7378832 8301186 11068248 14757664 16602372 22136496 33204744 44272992 66409488 132818976