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5277960 = 23365181
BaseRepresentation
bin10100001000100100001000
3100221011000000
4110020210020
52322343320
6305043000
762601432
oct24104410
910834000
105277960
112a85456
121926460
13112a46c
149b5652
156e3c90
hex508908

5277960 has 112 divisors (see below), whose sum is σ = 17903340. Its totient is φ = 1399680.

The previous prime is 5277947. The next prime is 5277983. The reversal of 5277960 is 697725.

5277960 is a `hidden beast` number, since 527 + 79 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4435236 + 842724 = 2106^2 + 918^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29070 + ... + 29250.

Almost surely, 25277960 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 5277960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8951670).

5277960 is an abundant number, since it is smaller than the sum of its proper divisors (12625380).

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

5277960 is a wasteful number, since it uses less digits than its factorization.

5277960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 5277960 is about 2297.3811177077. The cubic root of 5277960 is about 174.1093248754.

The spelling of 5277960 in words is "five million, two hundred seventy-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 181 216 243 270 324 360 362 405 486 540 543 648 724 729 810 905 972 1080 1086 1215 1448 1458 1620 1629 1810 1944 2172 2430 2715 2916 3240 3258 3620 3645 4344 4860 4887 5430 5832 6516 7240 7290 8145 9720 9774 10860 13032 14580 14661 16290 19548 21720 24435 29160 29322 32580 39096 43983 48870 58644 65160 73305 87966 97740 117288 131949 146610 175932 195480 219915 263898 293220 351864 439830 527796 586440 659745 879660 1055592 1319490 1759320 2638980 5277960