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20080656 = 2433234347
BaseRepresentation
bin100110010011…
…0100000010000
31101210012111000
41030212200100
520120040111
61554222000
7332453121
oct114464020
941705430
1020080656
1110375992
126884900
13421105b
14294a048
151b69c56
hex1326810

20080656 has 160 divisors (see below), whose sum is σ = 62853120. Its totient is φ = 6120576.

The previous prime is 20080589. The next prime is 20080661. The reversal of 20080656 is 65608002.

20080656 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 0 + 656 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427225 + ... + 427271.

It is an arithmetic number, because the mean of its divisors is an integer number (392832).

Almost surely, 220080656 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 20080656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31426560).

20080656 is an abundant number, since it is smaller than the sum of its proper divisors (42772464).

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

20080656 is a wasteful number, since it uses less digits than its factorization.

20080656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 20080656 is about 4481.1444966660. The cubic root of 20080656 is about 271.8061623580.

Adding to 20080656 its reverse (65608002), we get a palindrome (85688658).

It can be divided in two parts, 20080 and 656, that added together give a 4-th power (20736 = 124).

The spelling of 20080656 in words is "twenty million, eighty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 43 46 47 48 54 69 72 86 92 94 108 129 138 141 144 172 184 188 207 216 258 276 282 344 368 376 387 414 423 432 516 552 564 621 688 752 774 828 846 989 1032 1081 1104 1128 1161 1242 1269 1548 1656 1692 1978 2021 2064 2162 2256 2322 2484 2538 2967 3096 3243 3312 3384 3956 4042 4324 4644 4968 5076 5934 6063 6192 6486 6768 7912 8084 8648 8901 9288 9729 9936 10152 11868 12126 12972 15824 16168 17296 17802 18189 18576 19458 20304 23736 24252 25944 26703 29187 32336 35604 36378 38916 46483 47472 48504 51888 53406 54567 58374 71208 72756 77832 92966 97008 106812 109134 116748 139449 142416 145512 155664 185932 213624 218268 233496 278898 291024 371864 418347 427248 436536 466992 557796 743728 836694 873072 1115592 1255041 1673388 2231184 2510082 3346776 5020164 6693552 10040328 20080656