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132687984 = 243111321487
BaseRepresentation
bin1111110100010…
…10100001110000
3100020200020200210
413322022201300
5232432003414
621055544120
73200554302
oct772124160
9306606623
10132687984
11689984a0
123852b040
132164a100
141389d972
15b9aee59
hex7e8a870

132687984 has 120 divisors (see below), whose sum is σ = 405188352. Its totient is φ = 37090560.

The previous prime is 132687979. The next prime is 132688019. The reversal of 132687984 is 489786231.

It is a super-2 number, since 2×1326879842 = 35212202195968512, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 88489 + ... + 89975.

Almost surely, 2132687984 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 132687984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202594176).

132687984 is an abundant number, since it is smaller than the sum of its proper divisors (272500368).

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

132687984 is a wasteful number, since it uses less digits than its factorization.

132687984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1516 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 132687984 is about 11519.0270422462. The cubic root of 132687984 is about 510.0473927507.

The spelling of 132687984 in words is "one hundred thirty-two million, six hundred eighty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 169 176 208 264 286 312 338 429 507 528 572 624 676 858 1014 1144 1352 1487 1716 1859 2028 2288 2704 2974 3432 3718 4056 4461 5577 5948 6864 7436 8112 8922 11154 11896 14872 16357 17844 19331 22308 23792 29744 32714 35688 38662 44616 49071 57993 65428 71376 77324 89232 98142 115986 130856 154648 196284 212641 231972 251303 261712 309296 392568 425282 463944 502606 637923 753909 785136 850564 927888 1005212 1275846 1507818 1701128 2010424 2551692 2764333 3015636 3402256 4020848 5103384 5528666 6031272 8292999 10206768 11057332 12062544 16585998 22114664 33171996 44229328 66343992 132687984