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20056704 = 273192749
BaseRepresentation
bin100110010000…
…0101010000000
31101201222121220
41030200222000
520113303304
61553515040
7332323233
oct114405200
941658556
1020056704
1110359998
126872a80
134203195
14294141a
151b62ad9
hex1320a80

20056704 has 64 divisors (see below), whose sum is σ = 56100000. Its totient is φ = 6331392.

The previous prime is 20056703. The next prime is 20056769. The reversal of 20056704 is 40765002.

It is a happy number.

20056704 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20056703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5922 + ... + 8670.

Almost surely, 220056704 is an apocalyptic number.

20056704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20056704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28050000).

20056704 is an abundant number, since it is smaller than the sum of its proper divisors (36043296).

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

20056704 is a wasteful number, since it uses less digits than its factorization.

20056704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 20056704 is about 4478.4711677089. The cubic root of 20056704 is about 271.6980501630.

The spelling of 20056704 in words is "twenty million, fifty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 2749 3648 5498 7296 8247 10996 16494 21992 32988 43984 52231 65976 87968 104462 131952 156693 175936 208924 263904 313386 351872 417848 527808 626772 835696 1055616 1253544 1671392 2507088 3342784 5014176 6685568 10028352 20056704