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132566640 = 24355411021
BaseRepresentation
bin1111110011011…
…00111001110000
3100020110002020120
413321230321300
5232414113030
621053210240
73166540443
oct771547160
9306402216
10132566640
1168915308
1238490980
1321606acb
141386b65a
15b989010
hex7e6ce70

132566640 has 80 divisors (see below), whose sum is σ = 412119456. Its totient is φ = 35251200.

The previous prime is 132566611. The next prime is 132566659. The reversal of 132566640 is 46665231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129330 + ... + 130350.

Almost surely, 2132566640 is an apocalyptic number.

132566640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132566640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206059728).

132566640 is an abundant number, since it is smaller than the sum of its proper divisors (279552816).

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

132566640 is a wasteful number, since it uses less digits than its factorization.

132566640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 132566640 is about 11513.7587259765. The cubic root of 132566640 is about 509.8918648092.

The spelling of 132566640 in words is "one hundred thirty-two million, five hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 541 1021 1082 1623 2042 2164 2705 3063 3246 4084 4328 5105 5410 6126 6492 8115 8168 8656 10210 10820 12252 12984 15315 16230 16336 20420 21640 24504 25968 30630 32460 40840 43280 49008 61260 64920 81680 122520 129840 245040 552361 1104722 1657083 2209444 2761805 3314166 4418888 5523610 6628332 8285415 8837776 11047220 13256664 16570830 22094440 26513328 33141660 44188880 66283320 132566640