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132601272 = 2335525053
BaseRepresentation
bin1111110011101…
…01010110111000
3100020111211202020
413321311112320
5232421220042
621054034440
73200043426
oct771652670
9306454666
10132601272
1168939331
12384a8a20
13216197bb
141387a116
15b9943ec
hex7e755b8

132601272 has 16 divisors (see below), whose sum is σ = 331503240. Its totient is φ = 44200416.

The previous prime is 132601243. The next prime is 132601277. The reversal of 132601272 is 272106231.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 5525053 = 132601272 / (1 + 3 + 2 + 6 + 0 + 1 + 2 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132601277) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2762503 + ... + 2762550.

Almost surely, 2132601272 is an apocalyptic number.

132601272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132601272 is an abundant number, since it is smaller than the sum of its proper divisors (198901968).

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

132601272 is a wasteful number, since it uses less digits than its factorization.

132601272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5525062 (or 5525058 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 132601272 is about 11515.2625675666. The cubic root of 132601272 is about 509.9362626999.

The spelling of 132601272 in words is "one hundred thirty-two million, six hundred one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 5525053 11050106 16575159 22100212 33150318 44200424 66300636 132601272