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132272116 = 221071991553
BaseRepresentation
bin1111110001001…
…00111111110100
3100012220010020021
413320210333310
5232330201431
621043014524
73164202664
oct770447764
9305803207
10132272116
1168733aa9
123836a444
1321532a32
14137d21a4
15b92bb11
hex7e24ff4

132272116 has 24 divisors (see below), whose sum is σ = 234964800. Its totient is φ = 65146752.

The previous prime is 132272099. The next prime is 132272117. The reversal of 132272116 is 611272231.

It is a happy number.

It is a super-2 number, since 2×1322721162 = 34991825342234912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132272117) 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 7 ways as a sum of consecutive naturals, for example, 84396 + ... + 85948.

It is an arithmetic number, because the mean of its divisors is an integer number (9790200).

Almost surely, 2132272116 is an apocalyptic number.

It is an amenable number.

132272116 is a deficient number, since it is larger than the sum of its proper divisors (102692684).

132272116 is a wasteful number, since it uses less digits than its factorization.

132272116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1861 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 132272116 is about 11500.9615250204. The cubic root of 132272116 is about 509.5139750067.

The spelling of 132272116 in words is "one hundred thirty-two million, two hundred seventy-two thousand, one hundred sixteen".

Divisors: 1 2 4 107 199 214 398 428 796 1553 3106 6212 21293 42586 85172 166171 309047 332342 618094 664684 1236188 33068029 66136058 132272116