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55055160 = 23335192683
BaseRepresentation
bin1101001000000…
…1001100111000
310211121002111000
43102001030320
5103043231120
65244005000
71235650446
oct322011470
9124532430
1055055160
1129093836
1216530760
13b538324
147451b96
154c77990
hex3481338

55055160 has 128 divisors (see below), whose sum is σ = 193248000. Its totient is φ = 13903488.

The previous prime is 55055111. The next prime is 55055167. The reversal of 55055160 is 6155055.

55055160 is a `hidden beast` number, since 5 + 50 + 551 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55055167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19179 + ... + 21861.

It is an arithmetic number, because the mean of its divisors is an integer number (1509750).

Almost surely, 255055160 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 55055160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96624000).

55055160 is an abundant number, since it is smaller than the sum of its proper divisors (138192840).

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

55055160 is a wasteful number, since it uses less digits than its factorization.

55055160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 55055160 is about 7419.9164415780. The cubic root of 55055160 is about 380.4223374517.

The spelling of 55055160 in words is "fifty-five million, fifty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 2683 3420 4104 5130 5366 6840 8049 10260 10732 13415 16098 20520 21464 24147 26830 32196 40245 48294 50977 53660 64392 72441 80490 96588 101954 107320 120735 144882 152931 160980 193176 203908 241470 254885 289764 305862 321960 362205 407816 458793 482940 509770 579528 611724 724410 764655 917586 965880 1019540 1223448 1376379 1448820 1529310 1835172 2039080 2293965 2752758 2897640 3058620 3670344 4587930 5505516 6117240 6881895 9175860 11011032 13763790 18351720 27527580 55055160