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132966096 = 24310127427
BaseRepresentation
bin1111110110011…
…10011011010000
3100021012101012020
413323032123100
5233014403341
621105531440
73203123154
oct773163320
9307171166
10132966096
116906843a
1238643b80
1321716883
1413933064
15ba17566
hex7ece6d0

132966096 has 40 divisors (see below), whose sum is σ = 346909344. Its totient is φ = 43881600.

The previous prime is 132966091. The next prime is 132966107. The reversal of 132966096 is 690669231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132966091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8866 + ... + 18561.

Almost surely, 2132966096 is an apocalyptic number.

132966096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132966096 is an abundant number, since it is smaller than the sum of its proper divisors (213943248).

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

132966096 is a wasteful number, since it uses less digits than its factorization.

132966096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27539 (or 27533 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 132966096 is about 11531.0925761612. The cubic root of 132966096 is about 510.4034946024.

The spelling of 132966096 in words is "one hundred thirty-two million, nine hundred sixty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4848 27427 54854 82281 109708 164562 219416 329124 438832 658248 1316496 2770127 5540254 8310381 11080508 16620762 22161016 33241524 44322032 66483048 132966096