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56004060 = 22357243443
BaseRepresentation
bin1101010110100…
…0110111011100
310220101022010110
43111220313130
5103314112220
65320210020
71250012100
oct325506734
9126338113
1056004060
1129681752
1216909910
13b7ab1c8
14761b900
154db3be0
hex3568ddc

56004060 has 144 divisors (see below), whose sum is σ = 187076736. Its totient is φ = 12475008.

The previous prime is 56004059. The next prime is 56004071. The reversal of 56004060 is 6040065.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126199 + ... + 126641.

It is an arithmetic number, because the mean of its divisors is an integer number (1299144).

Almost surely, 256004060 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 56004060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93538368).

56004060 is an abundant number, since it is smaller than the sum of its proper divisors (131072676).

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

56004060 is a wasteful number, since it uses less digits than its factorization.

56004060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 56004060 is about 7483.5860387918. The cubic root of 56004060 is about 382.5954821651.

The spelling of 56004060 in words is "fifty-six million, four thousand, sixty", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 49 60 70 84 86 98 105 129 140 147 172 196 210 215 245 258 294 301 420 430 443 490 516 588 602 645 735 860 886 903 980 1204 1290 1329 1470 1505 1772 1806 2107 2215 2580 2658 2940 3010 3101 3612 4214 4430 4515 5316 6020 6202 6321 6645 8428 8860 9030 9303 10535 12404 12642 13290 15505 18060 18606 19049 21070 21707 25284 26580 31010 31605 37212 38098 42140 43414 46515 57147 62020 63210 65121 76196 86828 93030 95245 108535 114294 126420 130242 133343 186060 190490 217070 228588 260484 266686 285735 325605 380980 400029 434140 533372 571470 651210 666715 800058 933401 1142940 1302420 1333430 1600116 1866802 2000145 2666860 2800203 3733604 4000290 4667005 5600406 8000580 9334010 11200812 14001015 18668020 28002030 56004060