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56999040 = 273574241
BaseRepresentation
bin1101100101101…
…1110010000000
310222020211222120
43121123302000
5104042432130
65353404240
71261324650
oct331336200
9128224876
1056999040
112a1a124a
1217109680
13ba69057
1477da360
15500d910
hex365bc80

56999040 has 128 divisors (see below), whose sum is σ = 207688320. Its totient is φ = 13025280.

The previous prime is 56999039. The next prime is 56999051. The reversal of 56999040 is 4099965.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 56998983 and 56999001.

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, 11320 + ... + 15560.

It is an arithmetic number, because the mean of its divisors is an integer number (1622565).

Almost surely, 256999040 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 56999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103844160).

56999040 is an abundant number, since it is smaller than the sum of its proper divisors (150689280).

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

56999040 is a wasteful number, since it uses less digits than its factorization.

56999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4270 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 56999040 is about 7549.7708574499. The cubic root of 56999040 is about 384.8479525535.

The spelling of 56999040 in words is "fifty-six million, nine hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4241 4480 6720 8482 12723 13440 16964 21205 25446 29687 33928 42410 50892 59374 63615 67856 84820 89061 101784 118748 127230 135712 148435 169640 178122 203568 237496 254460 271424 296870 339280 356244 407136 445305 474992 508920 542848 593740 678560 712488 814272 890610 949984 1017840 1187480 1357120 1424976 1628544 1781220 1899968 2035680 2374960 2714240 2849952 3562440 3799936 4071360 4749920 5699904 7124880 8142720 9499840 11399808 14249760 18999680 28499520 56999040