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20064456 = 2333194889
BaseRepresentation
bin100110010001…
…0100011001000
31101202101021000
41030202203020
520114030311
61554015000
7332354646
oct114424310
941671230
1020064456
11103647a5
126877460
134206879
142944196
151b65056
hex13228c8

20064456 has 64 divisors (see below), whose sum is σ = 58680000. Its totient is φ = 6334848.

The previous prime is 20064449. The next prime is 20064461. The reversal of 20064456 is 65446002.

It is a happy number.

20064456 is a `hidden beast` number, since 200 + 6 + 4 + 456 = 666.

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, 1660 + ... + 6548.

It is an arithmetic number, because the mean of its divisors is an integer number (916875).

Almost surely, 220064456 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 20064456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29340000).

20064456 is an abundant number, since it is smaller than the sum of its proper divisors (38615544).

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

20064456 is a wasteful number, since it uses less digits than its factorization.

20064456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4923 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20064456 is about 4479.3365580184. The cubic root of 20064456 is about 271.7330497986.

The spelling of 20064456 in words is "twenty million, sixty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 4889 9778 14667 19556 29334 39112 44001 58668 88002 92891 117336 132003 176004 185782 264006 278673 352008 371564 528012 557346 743128 836019 1056024 1114692 1672038 2229384 2508057 3344076 5016114 6688152 10032228 20064456