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55996160 = 285114197
BaseRepresentation
bin1101010110011…
…0111100000000
310220100220021212
43111212330000
5103313334120
65320105252
71246650053
oct325467400
9126326255
1055996160
1129676820
1216905228
13b7a772c
147618a9a
154db16c5
hex3566f00

55996160 has 144 divisors (see below), whose sum is σ = 151435872. Its totient is φ = 19660800.

The previous prime is 55996159. The next prime is 55996163. The reversal of 55996160 is 6169955.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55996163) 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, 577232 + ... + 577328.

It is an arithmetic number, because the mean of its divisors is an integer number (1051638).

Almost surely, 255996160 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 55996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75717936).

55996160 is an abundant number, since it is smaller than the sum of its proper divisors (95439712).

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

55996160 is a wasteful number, since it uses less digits than its factorization.

55996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 41.

The square root of 55996160 is about 7483.0581983571. The cubic root of 55996160 is about 382.5774915263.

The spelling of 55996160 in words is "fifty-five million, nine hundred ninety-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 64 80 82 88 97 110 128 160 164 176 194 205 220 256 320 328 352 388 410 440 451 485 640 656 704 776 820 880 902 970 1067 1280 1312 1408 1552 1640 1760 1804 1940 2134 2255 2624 2816 3104 3280 3520 3608 3880 3977 4268 4510 5248 5335 6208 6560 7040 7216 7760 7954 8536 9020 10496 10670 12416 13120 14080 14432 15520 15908 17072 18040 19885 21340 24832 26240 28864 31040 31816 34144 36080 39770 42680 43747 52480 57728 62080 63632 68288 72160 79540 85360 87494 115456 124160 127264 136576 144320 159080 170720 174988 218735 254528 273152 288640 318160 341440 349976 437470 509056 577280 636320 682880 699952 874940 1018112 1272640 1365760 1399904 1749880 2545280 2799808 3499760 5090560 5599616 6999520 11199232 13999040 27998080 55996160