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56209920 = 293513563
BaseRepresentation
bin1101011001101…
…1001000000000
310220202202111220
43112123020000
5103342204140
65324435040
71251530214
oct326331000
9126682456
1056209920
1129802388
12169a8a80
13b850b10
147672944
154e04bd0
hex359b200

56209920 has 160 divisors (see below), whose sum is σ = 193862592. Its totient is φ = 13811712.

The previous prime is 56209897. The next prime is 56209921. The reversal of 56209920 is 2990265.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (56209921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99559 + ... + 100121.

Almost surely, 256209920 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 56209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96931296).

56209920 is an abundant number, since it is smaller than the sum of its proper divisors (137652672).

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

56209920 is a wasteful number, since it uses less digits than its factorization.

56209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 56209920 is about 7497.3275238581. The cubic root of 56209920 is about 383.0636910715.

The spelling of 56209920 in words is "fifty-six million, two hundred nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 563 624 640 768 780 832 960 1040 1126 1248 1280 1536 1560 1664 1689 1920 2080 2252 2496 2560 2815 3120 3328 3378 3840 4160 4504 4992 5630 6240 6656 6756 7319 7680 8320 8445 9008 9984 11260 12480 13512 14638 16640 16890 18016 19968 21957 22520 24960 27024 29276 33280 33780 36032 36595 43914 45040 49920 54048 58552 67560 72064 73190 87828 90080 99840 108096 109785 117104 135120 144128 146380 175656 180160 216192 219570 234208 270240 288256 292760 351312 360320 432384 439140 468416 540480 585520 702624 720640 864768 878280 936832 1080960 1171040 1405248 1441280 1756560 1873664 2161920 2342080 2810496 3513120 3747328 4323840 4684160 5620992 7026240 9368320 11241984 14052480 18736640 28104960 56209920