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132366440 = 23529532153
BaseRepresentation
bin1111110001111…
…00000001101000
3100020001220121202
413320330001220
5232341211230
621045023332
73165044663
oct770740150
9306056552
10132366440
1168798958
12383b4b48
132156694b
14138186da
15b949a45
hex7e3c068

132366440 has 64 divisors (see below), whose sum is σ = 314053200. Its totient is φ = 50132992.

The previous prime is 132366431. The next prime is 132366457. The reversal of 132366440 is 44663231.

It can be written as a sum of positive squares in 8 ways, for example, as 40475044 + 91891396 = 6362^2 + 9586^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

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 15 ways as a sum of consecutive naturals, for example, 60404 + ... + 62556.

Almost surely, 2132366440 is an apocalyptic number.

132366440 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 132366440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157026600).

132366440 is an abundant number, since it is smaller than the sum of its proper divisors (181686760).

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

132366440 is a wasteful number, since it uses less digits than its factorization.

132366440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 132366440 is about 11505.0614948378. The cubic root of 132366440 is about 509.6350586696.

The spelling of 132366440 in words is "one hundred thirty-two million, three hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 53 58 106 116 145 212 232 265 290 424 530 580 1060 1160 1537 2120 2153 3074 4306 6148 7685 8612 10765 12296 15370 17224 21530 30740 43060 61480 62437 86120 114109 124874 228218 249748 312185 456436 499496 570545 624370 912872 1141090 1248740 2282180 2497480 3309161 4564360 6618322 13236644 16545805 26473288 33091610 66183220 132366440