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132717921 = 3721277109
BaseRepresentation
bin1111110100100…
…01110101100001
3100020201202202120
413322101311201
5232433433141
621100334453
73201040500
oct772216541
9306652676
10132717921
1168a08a36
1238544429
132165a91b
14138aa837
15b9b8c66
hex7e91d61

132717921 has 24 divisors (see below), whose sum is σ = 207498240. Its totient is φ = 75231072.

The previous prime is 132717917. The next prime is 132717931. The reversal of 132717921 is 129717231.

It is not a de Polignac number, because 132717921 - 22 = 132717917 is a prime.

It is a super-2 number, since 2×1327179212 = 35228093109124482, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132717901) 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, 15115 + ... + 22223.

It is an arithmetic number, because the mean of its divisors is an integer number (8645760).

Almost surely, 2132717921 is an apocalyptic number.

It is an amenable number.

132717921 is a deficient number, since it is larger than the sum of its proper divisors (74780319).

132717921 is a wasteful number, since it uses less digits than its factorization.

132717921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7253 (or 7246 counting only the distinct ones).

The product of its digits is 5292, while the sum is 33.

The square root of 132717921 is about 11520.3264276669. The cubic root of 132717921 is about 510.0857487499.

The spelling of 132717921 in words is "one hundred thirty-two million, seven hundred seventeen thousand, nine hundred twenty-one".

Divisors: 1 3 7 21 49 127 147 381 889 2667 6223 7109 18669 21327 49763 149289 348341 902843 1045023 2708529 6319901 18959703 44239307 132717921