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132364023 = 31117213879
BaseRepresentation
bin1111110001110…
…11011011110111
3100020001210022020
413320323123313
5232341122043
621045004223
73165034641
oct770733367
9306053266
10132364023
1168797060
12383b3673
132156580c
1413817891
15b948e83
hex7e3b6f7

132364023 has 24 divisors (see below), whose sum is σ = 204535680. Its totient is φ = 75496320.

The previous prime is 132364021. The next prime is 132364027. The reversal of 132364023 is 320463231.

It is not a de Polignac number, because 132364023 - 21 = 132364021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132363984 and 132364002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132364021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2598 + ... + 16476.

It is an arithmetic number, because the mean of its divisors is an integer number (8522320).

Almost surely, 2132364023 is an apocalyptic number.

132364023 is a deficient number, since it is larger than the sum of its proper divisors (72171657).

132364023 is a wasteful number, since it uses less digits than its factorization.

132364023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13927 (or 13910 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 132364023 is about 11504.9564536334. The cubic root of 132364023 is about 509.6319566863.

The spelling of 132364023 in words is "one hundred thirty-two million, three hundred sixty-four thousand, twenty-three".

Divisors: 1 3 11 17 33 51 187 289 561 867 3179 9537 13879 41637 152669 235943 458007 707829 2595373 4011031 7786119 12033093 44121341 132364023