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132681393 = 32132831051
BaseRepresentation
bin1111110100010…
…00111010110001
3100020122220122200
413322020322301
5232431301033
621055453413
73200526135
oct772107261
9306586580
10132681393
1168993549
1238527269
1321647100
141389b3c5
15b9ad013
hex7e88eb1

132681393 has 36 divisors (see below), whose sum is σ = 210227472. Its totient is φ = 80589600.

The previous prime is 132681343. The next prime is 132681401. The reversal of 132681393 is 393186231.

132681393 is a `hidden beast` number, since 1 + 3 + 268 + 1 + 393 = 666.

It is not a de Polignac number, because 132681393 - 28 = 132681137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132681343) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 125718 + ... + 126768.

It is an arithmetic number, because the mean of its divisors is an integer number (5839652).

Almost surely, 2132681393 is an apocalyptic number.

132681393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132681393 is a deficient number, since it is larger than the sum of its proper divisors (77546079).

132681393 is a wasteful number, since it uses less digits than its factorization.

132681393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1150 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 132681393 is about 11518.7409468223. The cubic root of 132681393 is about 510.0389474293.

The spelling of 132681393 in words is "one hundred thirty-two million, six hundred eighty-one thousand, three hundred ninety-three".

Divisors: 1 3 9 13 39 83 117 169 249 507 747 1051 1079 1521 3153 3237 9459 9711 13663 14027 40989 42081 87233 122967 126243 177619 261699 532857 785097 1134029 1598571 3402087 10206261 14742377 44227131 132681393