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132935712 = 25371315217
BaseRepresentation
bin1111110110001…
…11000000100000
3100021010211111220
413323013000200
5233012420322
621105135040
73202635450
oct773070040
9307124456
10132935712
1169047628
123862a480
1321705ab0
1413925d60
15ba0d55c
hex7ec7020

132935712 has 96 divisors (see below), whose sum is σ = 429512832. Its totient is φ = 35057664.

The previous prime is 132935707. The next prime is 132935729. The reversal of 132935712 is 217539231.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1128 + ... + 16344.

It is an arithmetic number, because the mean of its divisors is an integer number (4474092).

Almost surely, 2132935712 is an apocalyptic number.

132935712 is a gapful number since it is divisible by the number (12) 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 132935712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214756416).

132935712 is an abundant number, since it is smaller than the sum of its proper divisors (296577120).

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

132935712 is a wasteful number, since it uses less digits than its factorization.

132935712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15250 (or 15242 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 132935712 is about 11529.7750194876. The cubic root of 132935712 is about 510.3646143122.

The spelling of 132935712 in words is "one hundred thirty-two million, nine hundred thirty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 15217 30434 45651 60868 91302 106519 121736 182604 197821 213038 243472 319557 365208 395642 426076 486944 593463 639114 730416 791284 852152 1186926 1278228 1384747 1460832 1582568 1704304 2373852 2556456 2769494 3165136 3408608 4154241 4747704 5112912 5538988 6330272 8308482 9495408 10225824 11077976 16616964 18990816 22155952 33233928 44311904 66467856 132935712