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100664064 = 283243691
BaseRepresentation
bin1100000000000…
…00001100000000
321000102021010200
412000000030000
5201232222224
613553325200
72331426144
oct600001400
9230367120
10100664064
1151905446
1229866800
1317b16b47
14d525224
158c865c9
hex6000300

100664064 has 54 divisors (see below), whose sum is σ = 290245956. Its totient is φ = 33553920.

The previous prime is 100664027. The next prime is 100664101. The reversal of 100664064 is 460466001.

100664064 is a `hidden beast` number, since 10 + 0 + 6 + 640 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (100664027) and next prime (100664101).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19542 + ... + 24149.

Almost surely, 2100664064 is an apocalyptic number.

It is an amenable number.

100664064 is an abundant number, since it is smaller than the sum of its proper divisors (189581892).

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

100664064 is an equidigital number, since it uses as much as digits as its factorization.

100664064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43713 (or 43696 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 100664064 is about 10033.1482596441. The cubic root of 100664064 is about 465.1840547832.

The spelling of 100664064 in words is "one hundred million, six hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 43691 87382 131073 174764 262146 349528 393219 524292 699056 786438 1048584 1398112 1572876 2097168 2796224 3145752 4194336 5592448 6291504 8388672 11184896 12583008 16777344 25166016 33554688 50332032 100664064