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5180672 = 287359
BaseRepresentation
bin10011110000110100000000
3100202012112202
4103300310000
52311240142
6303012332
762015000
oct23606400
910665482
105180672
112a19352
12189a0a8
1310c50b3
1498c000
156c5032
hex4f0d00

5180672 has 72 divisors (see below), whose sum is σ = 12264000. Its totient is φ = 2182656.

The previous prime is 5180653. The next prime is 5180677. The reversal of 5180672 is 2760815.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5180677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87779 + ... + 87837.

Almost surely, 25180672 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 5180672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132000).

5180672 is an abundant number, since it is smaller than the sum of its proper divisors (7083328).

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

5180672 is an frugal number, since it uses more digits than its factorization.

5180672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 5180672 is about 2276.1089604850. The cubic root of 5180672 is about 173.0329049642.

The spelling of 5180672 in words is "five million, one hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 59 64 98 112 118 128 196 224 236 256 343 392 413 448 472 686 784 826 896 944 1372 1568 1652 1792 1888 2744 2891 3136 3304 3776 5488 5782 6272 6608 7552 10976 11564 12544 13216 15104 20237 21952 23128 26432 40474 43904 46256 52864 80948 87808 92512 105728 161896 185024 323792 370048 647584 740096 1295168 2590336 5180672