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132905136 = 24371330427
BaseRepresentation
bin1111110101111…
…11100010110000
3100021002021120110
413322333202300
5233010431021
621104341320
73202450350
oct772774260
9307067513
10132905136
1169026661
1238614840
13216c4bc0
1413918b60
15ba04476
hex7ebf8b0

132905136 has 80 divisors (see below), whose sum is σ = 422584064. Its totient is φ = 35050752.

The previous prime is 132905089. The next prime is 132905141. The reversal of 132905136 is 631509231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10846 + ... + 19581.

Almost surely, 2132905136 is an apocalyptic number.

132905136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132905136 is an abundant number, since it is smaller than the sum of its proper divisors (289678928).

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

132905136 is a wasteful number, since it uses less digits than its factorization.

132905136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30458 (or 30452 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 132905136 is about 11528.4489850109. The cubic root of 132905136 is about 510.3254823519.

The spelling of 132905136 in words is "one hundred thirty-two million, nine hundred five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 30427 60854 91281 121708 182562 212989 243416 365124 395551 425978 486832 638967 730248 791102 851956 1186653 1277934 1460496 1582204 1703912 2373306 2555868 2768857 3164408 3407824 4746612 5111736 5537714 6328816 8306571 9493224 10223472 11075428 16613142 18986448 22150856 33226284 44301712 66452568 132905136