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18620064 = 253323937
BaseRepresentation
bin100011100000…
…1111010100000
31022000222221000
41013001322200
514231320224
61503032000
7314160621
oct107017240
938028830
1018620064
11a568591
12629b600
133b1c2b8
142689a48
15197c0c9
hex11c1ea0

18620064 has 96 divisors (see below), whose sum is σ = 56730240. Its totient is φ = 5930496.

The previous prime is 18620051. The next prime is 18620089. The reversal of 18620064 is 46002681.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19404 + ... + 20340.

It is an arithmetic number, because the mean of its divisors is an integer number (590940).

Almost surely, 218620064 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 18620064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28365120).

18620064 is an abundant number, since it is smaller than the sum of its proper divisors (38110176).

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

18620064 is a wasteful number, since it uses less digits than its factorization.

18620064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 18620064 is about 4315.0972179083. The cubic root of 18620064 is about 265.0495409930.

The spelling of 18620064 in words is "eighteen million, six hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 937 1104 1242 1656 1874 2208 2484 2811 3312 3748 4968 5622 6624 7496 8433 9936 11244 14992 16866 19872 21551 22488 25299 29984 33732 43102 44976 50598 64653 67464 86204 89952 101196 129306 134928 172408 193959 202392 258612 269856 344816 387918 404784 517224 581877 689632 775836 809568 1034448 1163754 1551672 2068896 2327508 3103344 4655016 6206688 9310032 18620064