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55117160 = 2357261461
BaseRepresentation
bin1101001001000…
…0010101101000
310211201020112022
43102100111220
5103102222120
65245204012
71236326300
oct322202550
9124636468
1055117160
112912637a
1216560608
13b55a607
14746a600
154c8b025
hex3490568

55117160 has 96 divisors (see below), whose sum is σ = 146943720. Its totient is φ = 18547200.

The previous prime is 55117159. The next prime is 55117201. The reversal of 55117160 is 6171155.

It can be written as a sum of positive squares in 4 ways, for example, as 23600164 + 31516996 = 4858^2 + 5614^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119330 + ... + 119790.

Almost surely, 255117160 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 55117160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73471860).

55117160 is an abundant number, since it is smaller than the sum of its proper divisors (91826560).

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

55117160 is a wasteful number, since it uses less digits than its factorization.

55117160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 26.

The square root of 55117160 is about 7424.0932106218. The cubic root of 55117160 is about 380.5650872361.

The spelling of 55117160 in words is "fifty-five million, one hundred seventeen thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 61 70 98 122 140 196 244 245 280 305 392 427 461 488 490 610 854 922 980 1220 1708 1844 1960 2135 2305 2440 2989 3227 3416 3688 4270 4610 5978 6454 8540 9220 11956 12908 14945 16135 17080 18440 22589 23912 25816 28121 29890 32270 45178 56242 59780 64540 90356 112484 112945 119560 129080 140605 180712 196847 224968 225890 281210 393694 451780 562420 787388 903560 984235 1124840 1377929 1574776 1968470 2755858 3936940 5511716 6889645 7873880 11023432 13779290 27558580 55117160