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132101520 = 24351134871
BaseRepresentation
bin1111101111110…
…11010110010000
3100012120110012220
413313323112100
5232304222040
621035221040
73162562425
oct767732620
9305513186
10132101520
1168627911
12382a7780
13214a31a5
1413789d4c
15b8e62d0
hex7dfb590

132101520 has 80 divisors (see below), whose sum is σ = 413223552. Its totient is φ = 34908160.

The previous prime is 132101513. The next prime is 132101533. The reversal of 132101520 is 25101231.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132101520.

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, 24685 + ... + 29555.

Almost surely, 2132101520 is an apocalyptic number.

132101520 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 132101520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206611776).

132101520 is an abundant number, since it is smaller than the sum of its proper divisors (281122032).

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

132101520 is a wasteful number, since it uses less digits than its factorization.

132101520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 132101520 is about 11493.5425348323. The cubic root of 132101520 is about 509.2948347377.

Adding to 132101520 its reverse (25101231), we get a palindrome (157202751).

The spelling of 132101520 in words is "one hundred thirty-two million, one hundred one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 904 1130 1356 1695 1808 2260 2712 3390 4520 4871 5424 6780 9040 9742 13560 14613 19484 24355 27120 29226 38968 48710 58452 73065 77936 97420 116904 146130 194840 233808 292260 389680 550423 584520 1100846 1169040 1651269 2201692 2752115 3302538 4403384 5504230 6605076 8256345 8806768 11008460 13210152 16512690 22016920 26420304 33025380 44033840 66050760 132101520