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5133960 = 23325131097
BaseRepresentation
bin10011100101011010001000
3100122211110200
4103211122020
52303241320
6302012200
761431546
oct23453210
910584420
105133960
112997247
121877060
1310a9a60
14978d96
156b6290
hex4e5688

5133960 has 96 divisors (see below), whose sum is σ = 17985240. Its totient is φ = 1262592.

The previous prime is 5133937. The next prime is 5133977. The reversal of 5133960 is 693315.

It can be written as a sum of positive squares in 4 ways, for example, as 2643876 + 2490084 = 1626^2 + 1578^2 .

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, 4132 + ... + 5228.

Almost surely, 25133960 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 5133960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8992620).

5133960 is an abundant number, since it is smaller than the sum of its proper divisors (12851280).

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

5133960 is a wasteful number, since it uses less digits than its factorization.

5133960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 5133960 is about 2265.8243532984. The cubic root of 5133960 is about 172.5112784056.

The spelling of 5133960 in words is "five million, one hundred thirty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1097 1170 1560 2194 2340 3291 4388 4680 5485 6582 8776 9873 10970 13164 14261 16455 19746 21940 26328 28522 32910 39492 42783 43880 49365 57044 65820 71305 78984 85566 98730 114088 128349 131640 142610 171132 197460 213915 256698 285220 342264 394920 427830 513396 570440 641745 855660 1026792 1283490 1711320 2566980 5133960