Search a number
-
+
5880576 = 283131931
BaseRepresentation
bin10110011011101100000000
3102001202122010
4112123230000
53001134301
6330012520
7100661352
oct26335400
912052563
105880576
113357189
121b77140
1312ab840
14ad10d2
157b25d6
hex59bb00

5880576 has 144 divisors (see below), whose sum is σ = 18314240. Its totient is φ = 1658880.

The previous prime is 5880547. The next prime is 5880587. The reversal of 5880576 is 6750885.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189681 + ... + 189711.

Almost surely, 25880576 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 5880576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9157120).

5880576 is an abundant number, since it is smaller than the sum of its proper divisors (12433664).

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

5880576 is a wasteful number, since it uses less digits than its factorization.

5880576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 5880576 is about 2424.9898968862. The cubic root of 5880576 is about 180.4983719540.

The spelling of 5880576 in words is "five million, eight hundred eighty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 31 32 38 39 48 52 57 62 64 76 78 93 96 104 114 124 128 152 156 186 192 208 228 247 248 256 304 312 372 384 403 416 456 494 496 589 608 624 741 744 768 806 832 912 988 992 1178 1209 1216 1248 1482 1488 1612 1664 1767 1824 1976 1984 2356 2418 2432 2496 2964 2976 3224 3328 3534 3648 3952 3968 4712 4836 4864 4992 5928 5952 6448 7068 7296 7657 7904 7936 9424 9672 9984 11856 11904 12896 14136 14592 15314 15808 18848 19344 22971 23712 23808 25792 28272 30628 31616 37696 38688 45942 47424 51584 56544 61256 63232 75392 77376 91884 94848 103168 113088 122512 150784 154752 183768 189696 226176 245024 309504 367536 452352 490048 735072 980096 1470144 1960192 2940288 5880576