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132170064 = 24313211811
BaseRepresentation
bin1111110000011…
…00000101010000
3100012200221020120
413320030011100
5232313420224
621040510240
73163266315
oct770140520
9305627216
10132170064
1168674364
123831b380
13214c8450
14137a6d0c
15b90b779
hex7e0c150

132170064 has 40 divisors (see below), whose sum is σ = 367705632. Its totient is φ = 40667520.

The previous prime is 132170057. The next prime is 132170119. The reversal of 132170064 is 460071231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105282 + ... + 106529.

Almost surely, 2132170064 is an apocalyptic number.

It is an amenable number.

132170064 is an abundant number, since it is smaller than the sum of its proper divisors (235535568).

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

132170064 is a wasteful number, since it uses less digits than its factorization.

132170064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211835 (or 211829 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 132170064 is about 11496.5239964087. The cubic root of 132170064 is about 509.3829060662.

The spelling of 132170064 in words is "one hundred thirty-two million, one hundred seventy thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 211811 423622 635433 847244 1270866 1694488 2541732 2753543 3388976 5083464 5507086 8260629 10166928 11014172 16521258 22028344 33042516 44056688 66085032 132170064