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132896712 = 233131932207
BaseRepresentation
bin1111110101111…
…01011111001000
3100021001212000110
413322331133020
5233010143322
621104234320
73202413654
oct772753710
9307055013
10132896712
11690202a3
123860b9a0
13216c1110
1413915a64
15ba01c0c
hex7ebd7c8

132896712 has 64 divisors (see below), whose sum is σ = 359815680. Its totient is φ = 40660992.

The previous prime is 132896707. The next prime is 132896759. The reversal of 132896712 is 217698231.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 59113 + ... + 61319.

It is an arithmetic number, because the mean of its divisors is an integer number (5622120).

Almost surely, 2132896712 is an apocalyptic number.

132896712 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 132896712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179907840).

132896712 is an abundant number, since it is smaller than the sum of its proper divisors (226918968).

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

132896712 is a wasteful number, since it uses less digits than its factorization.

With its successor (132896713) it forms an eRAP, since the sums of their prime factors are consecutive (2422 and 2423).

132896712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2418 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 132896712 is about 11528.0836221811. The cubic root of 132896712 is about 510.3147000430.

The spelling of 132896712 in words is "one hundred thirty-two million, eight hundred ninety-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 193 312 386 579 772 1158 1544 2207 2316 2509 4414 4632 5018 6621 7527 8828 10036 13242 15054 17656 20072 26484 28691 30108 52968 57382 60216 86073 114764 172146 229528 344292 425951 688584 851902 1277853 1703804 2555706 3407608 5111412 5537363 10222824 11074726 16612089 22149452 33224178 44298904 66448356 132896712