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55002960 = 2432579967
BaseRepresentation
bin1101000111010…
…0011101010000
310211111102212200
43101310131100
5103040043320
65242523200
71235342325
oct321643520
9124442780
1055002960
11290585a1
1216506500
13b51a63c
14743ab4c
154c67290
hex3474750

55002960 has 120 divisors (see below), whose sum is σ = 187249920. Its totient is φ = 14466816.

The previous prime is 55002947. The next prime is 55002971. The reversal of 55002960 is 6920055.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 56397 + ... + 57363.

It is an arithmetic number, because the mean of its divisors is an integer number (1560416).

Almost surely, 255002960 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 55002960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93624960).

55002960 is an abundant number, since it is smaller than the sum of its proper divisors (132246960).

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

55002960 is a wasteful number, since it uses less digits than its factorization.

55002960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 55002960 is about 7416.3980475700. The cubic root of 55002960 is about 380.3020682200.

The spelling of 55002960 in words is "fifty-five million, two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 79 80 90 120 144 158 180 237 240 316 360 395 474 632 711 720 790 948 967 1185 1264 1422 1580 1896 1934 2370 2844 2901 3160 3555 3792 3868 4740 4835 5688 5802 6320 7110 7736 8703 9480 9670 11376 11604 14220 14505 15472 17406 18960 19340 23208 28440 29010 34812 38680 43515 46416 56880 58020 69624 76393 77360 87030 116040 139248 152786 174060 229179 232080 305572 348120 381965 458358 611144 687537 696240 763930 916716 1145895 1222288 1375074 1527860 1833432 2291790 2750148 3055720 3437685 3666864 4583580 5500296 6111440 6875370 9167160 11000592 13750740 18334320 27501480 55002960