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132776316 = 22324797809
BaseRepresentation
bin1111110101000…
…00000101111100
3100020211201212100
413322200011330
5232442320231
621101505100
73201402651
oct772400574
9306751770
10132776316
1168a488a2
1238572190
132167b38a
14138c3c28
15b9cb1e6
hex7ea017c

132776316 has 72 divisors (see below), whose sum is σ = 346731840. Its totient is φ = 42817536.

The previous prime is 132776291. The next prime is 132776333. The reversal of 132776316 is 613677231.

132776316 is a `hidden beast` number, since 13 + 2 + 7 + 7 + 631 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163720 + ... + 164528.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2132776316 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 132776316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173365920).

132776316 is an abundant number, since it is smaller than the sum of its proper divisors (213955524).

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

132776316 is a wasteful number, since it uses less digits than its factorization.

132776316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 958 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 132776316 is about 11522.8605823381. The cubic root of 132776316 is about 510.1605492227.

The spelling of 132776316 in words is "one hundred thirty-two million, seven hundred seventy-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 97 141 188 194 282 291 388 423 564 582 809 846 873 1164 1618 1692 1746 2427 3236 3492 4559 4854 7281 9118 9708 13677 14562 18236 27354 29124 38023 41031 54708 76046 78473 82062 114069 152092 156946 164124 228138 235419 313892 342207 456276 470838 684414 706257 941676 1368828 1412514 2825028 3688231 7376462 11064693 14752924 22129386 33194079 44258772 66388158 132776316