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132907984 = 24112332833
BaseRepresentation
bin1111110110000…
…00001111010000
3100021002102110221
413323000033100
5233011023414
621104402424
73202461556
oct773001720
9307072427
10132907984
1169028810
1238616414
13216c62a1
1413919bd6
15ba05224
hex7ec03d0

132907984 has 40 divisors (see below), whose sum is σ = 293141952. Its totient is φ = 57784320.

The previous prime is 132907981. The next prime is 132907987. The reversal of 132907984 is 489709231.

It is an interprime number because it is at equal distance from previous prime (132907981) and next prime (132907987).

It is a self number, because there is not a number n which added to its sum of digits gives 132907984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132907981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12369 + ... + 20464.

Almost surely, 2132907984 is an apocalyptic number.

It is an amenable number.

132907984 is an abundant number, since it is smaller than the sum of its proper divisors (160233968).

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

132907984 is a wasteful number, since it uses less digits than its factorization.

132907984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32875 (or 32869 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 132907984 is about 11528.5725048681. The cubic root of 132907984 is about 510.3291275499.

The spelling of 132907984 in words is "one hundred thirty-two million, nine hundred seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 4048 32833 65666 131332 262664 361163 525328 722326 755159 1444652 1510318 2889304 3020636 5778608 6041272 8306749 12082544 16613498 33226996 66453992 132907984