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132956688 = 24337431741
BaseRepresentation
bin1111110110011…
…00001000010000
3100021011220021210
413323030020100
5233014103223
621105420120
73203053554
oct773141020
9307156253
10132956688
1169061367
123863a640
13217124c7
141392d864
15ba14893
hex7ecc210

132956688 has 80 divisors (see below), whose sum is σ = 361165376. Its totient is φ = 42094080.

The previous prime is 132956687. The next prime is 132956689. The reversal of 132956688 is 886659231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132956687) and next prime (132956689).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (132956687) 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, 75498 + ... + 77238.

Almost surely, 2132956688 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 132956688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180582688).

132956688 is an abundant number, since it is smaller than the sum of its proper divisors (228208688).

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

132956688 is a wasteful number, since it uses less digits than its factorization.

132956688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1826 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 132956688 is about 11530.6846284165. The cubic root of 132956688 is about 510.3914564727.

The spelling of 132956688 in words is "one hundred thirty-two million, nine hundred fifty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 43 48 74 86 111 129 148 172 222 258 296 344 444 516 592 688 888 1032 1591 1741 1776 2064 3182 3482 4773 5223 6364 6964 9546 10446 12728 13928 19092 20892 25456 27856 38184 41784 64417 74863 76368 83568 128834 149726 193251 224589 257668 299452 386502 449178 515336 598904 773004 898356 1030672 1197808 1546008 1796712 2769931 3092016 3593424 5539862 8309793 11079724 16619586 22159448 33239172 44318896 66478344 132956688