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20055456 = 253283839
BaseRepresentation
bin100110010000…
…0010110100000
31101201220220200
41030200112200
520113233311
61553505200
7332316501
oct114402640
941656820
1020055456
1110358a63
126872200
134202745
142940ba8
151b62556
hex13205a0

20055456 has 72 divisors (see below), whose sum is σ = 57788640. Its totient is φ = 6596736.

The previous prime is 20055433. The next prime is 20055463. The reversal of 20055456 is 65455002.

20055456 is a `hidden beast` number, since 200 + 5 + 5 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23485 + ... + 24323.

It is an arithmetic number, because the mean of its divisors is an integer number (802620).

Almost surely, 220055456 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 20055456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28894320).

20055456 is an abundant number, since it is smaller than the sum of its proper divisors (37733184).

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

20055456 is a wasteful number, since it uses less digits than its factorization.

20055456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 20055456 is about 4478.3318322786. The cubic root of 20055456 is about 271.6924147040.

The spelling of 20055456 in words is "twenty million, fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 839 996 1328 1494 1678 1992 2517 2656 2988 3356 3984 5034 5976 6712 7551 7968 10068 11952 13424 15102 20136 23904 26848 30204 40272 60408 69637 80544 120816 139274 208911 241632 278548 417822 557096 626733 835644 1114192 1253466 1671288 2228384 2506932 3342576 5013864 6685152 10027728 20055456