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132686406 = 23273241419
BaseRepresentation
bin1111110100010…
…10001001000110
3100020200011112100
413322022021012
5232431431111
621055532530
73200546556
oct772121106
9306604470
10132686406
1168997296
123852a146
1321649488
141389d166
15b9ae756
hex7e8a246

132686406 has 48 divisors (see below), whose sum is σ = 293333040. Its totient is φ = 43338240.

The previous prime is 132686399. The next prime is 132686413. The reversal of 132686406 is 604686231.

132686406 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 8 + 640 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (132686399) and next prime (132686413).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316465 + ... + 316883.

It is an arithmetic number, because the mean of its divisors is an integer number (6111105).

Almost surely, 2132686406 is an apocalyptic number.

132686406 is an abundant number, since it is smaller than the sum of its proper divisors (160646634).

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

132686406 is a wasteful number, since it uses less digits than its factorization.

132686406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 132686406 is about 11518.9585466743. The cubic root of 132686406 is about 510.0453708194.

The spelling of 132686406 in words is "one hundred thirty-two million, six hundred eighty-six thousand, four hundred six".

Divisors: 1 2 3 6 9 18 73 146 219 241 419 438 482 657 723 838 1257 1314 1446 2169 2514 3771 4338 7542 17593 30587 35186 52779 61174 91761 100979 105558 158337 183522 201958 275283 302937 316674 550566 605874 908811 1817622 7371467 14742934 22114401 44228802 66343203 132686406