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132133272 = 2337177543
BaseRepresentation
bin1111110000000…
…11000110011000
3100012122001202220
413320003012120
5232311231042
621040024040
73163054125
oct770030630
9305561686
10132133272
1168649757
1238302020
13214b478b
141379774c
15b9008ec
hex7e03198

132133272 has 32 divisors (see below), whose sum is σ = 334990080. Its totient is φ = 43423520.

The previous prime is 132133249. The next prime is 132133289. The reversal of 132133272 is 272331231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37068 + ... + 40475.

It is an arithmetic number, because the mean of its divisors is an integer number (10468440).

Almost surely, 2132133272 is an apocalyptic number.

132133272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132133272 is an abundant number, since it is smaller than the sum of its proper divisors (202856808).

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

132133272 is a wasteful number, since it uses less digits than its factorization.

132133272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77623 (or 77619 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 132133272 is about 11494.9237492034. The cubic root of 132133272 is about 509.3356362721.

The spelling of 132133272 in words is "one hundred thirty-two million, one hundred thirty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1704 77543 155086 232629 310172 465258 620344 930516 1861032 5505553 11011106 16516659 22022212 33033318 44044424 66066636 132133272