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132670464 = 2103192273
BaseRepresentation
bin1111110100001…
…10010000000000
3100020122100122220
413322012100000
5232430423324
621055331040
73200452233
oct772062000
9306570586
10132670464
1168986313
1238520a80
1321642144
141389741a
15b9a9b79
hex7e86400

132670464 has 88 divisors (see below), whose sum is σ = 372390240. Its totient is φ = 41877504.

The previous prime is 132670459. The next prime is 132670481. The reversal of 132670464 is 464076231.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57232 + ... + 59504.

Almost surely, 2132670464 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 132670464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186195120).

132670464 is an abundant number, since it is smaller than the sum of its proper divisors (239719776).

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

132670464 is a wasteful number, since it uses less digits than its factorization.

132670464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 132670464 is about 11518.2665362458. The cubic root of 132670464 is about 510.0249430323.

The spelling of 132670464 in words is "one hundred thirty-two million, six hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2273 2432 3072 3648 4546 4864 6819 7296 9092 9728 13638 14592 18184 19456 27276 29184 36368 43187 54552 58368 72736 86374 109104 129561 145472 172748 218208 259122 290944 345496 436416 518244 581888 690992 872832 1036488 1163776 1381984 1745664 2072976 2327552 2763968 3491328 4145952 5527936 6982656 8291904 11055872 16583808 22111744 33167616 44223488 66335232 132670464