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132747984 = 243619599
BaseRepresentation
bin1111110100110…
…01001011010000
3100020210022000000
413322121023100
5232440413414
621101130000
73201224235
oct772311320
9306708000
10132747984
1168a29586
1238559900
132166b505
14138b778c
15b9c2b09
hex7e992d0

132747984 has 140 divisors (see below), whose sum is σ = 406596000. Its totient is φ = 41850432.

The previous prime is 132747941. The next prime is 132748027. The reversal of 132747984 is 489747231.

It is an interprime number because it is at equal distance from previous prime (132747941) and next prime (132748027).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 221317 + ... + 221915.

Almost surely, 2132747984 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 132747984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203298000).

132747984 is an abundant number, since it is smaller than the sum of its proper divisors (273848016).

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

132747984 is an equidigital number, since it uses as much as digits as its factorization.

132747984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 623 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 132747984 is about 11521.6311345226. The cubic root of 132747984 is about 510.1242603792.

The spelling of 132747984 in words is "one hundred thirty-two million, seven hundred forty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 599 648 684 729 912 972 1026 1198 1296 1368 1458 1539 1797 1944 2052 2396 2736 2916 3078 3594 3888 4104 4617 4792 5391 5832 6156 7188 8208 9234 9584 10782 11381 11664 12312 13851 14376 16173 18468 21564 22762 24624 27702 28752 32346 34143 36936 43128 45524 48519 55404 64692 68286 73872 86256 91048 97038 102429 110808 129384 136572 145557 182096 194076 204858 221616 258768 273144 291114 307287 388152 409716 436671 546288 582228 614574 776304 819432 873342 921861 1164456 1229148 1638864 1746684 1843722 2328912 2458296 2765583 3493368 3687444 4916592 5531166 6986736 7374888 8296749 11062332 14749776 16593498 22124664 33186996 44249328 66373992 132747984