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132512064 = 2636710301
BaseRepresentation
bin1111110010111…
…11100101000000
3100020100022101020
413321133211000
5232410341224
621052105440
73166222356
oct771374500
9306308336
10132512064
1168888303
1238465280
13215b8009
14138557d6
15b977c79
hex7e5f940

132512064 has 56 divisors (see below), whose sum is σ = 355872288. Its totient is φ = 43507200.

The previous prime is 132512033. The next prime is 132512077. The reversal of 132512064 is 460215231.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7714 + ... + 18014.

Almost surely, 2132512064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132512064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177936144).

132512064 is an abundant number, since it is smaller than the sum of its proper divisors (223360224).

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

132512064 is a wasteful number, since it uses less digits than its factorization.

132512064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10383 (or 10373 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 132512064 is about 11511.3884479675. The cubic root of 132512064 is about 509.8218832058.

Adding to 132512064 its reverse (460215231), we get a palindrome (592727295).

The spelling of 132512064 in words is "one hundred thirty-two million, five hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 536 804 1072 1608 2144 3216 4288 6432 10301 12864 20602 30903 41204 61806 82408 123612 164816 247224 329632 494448 659264 690167 988896 1380334 1977792 2070501 2760668 4141002 5521336 8282004 11042672 16564008 22085344 33128016 44170688 66256032 132512064