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5679072 = 25347313
BaseRepresentation
bin10101101010011111100000
3101200112020000
4111222133200
52423212242
6321420000
766162030
oct25523740
911615200
105679072
113229853
121a9a600
13123abc9
14a7b8c0
15772a4c
hex56a7e0

5679072 has 120 divisors (see below), whose sum is σ = 19148976. Its totient is φ = 1617408.

The previous prime is 5679031. The next prime is 5679101. The reversal of 5679072 is 2709765.

5679072 is a `hidden beast` number, since 567 + 90 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17988 + ... + 18300.

Almost surely, 25679072 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 5679072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9574488).

5679072 is an abundant number, since it is smaller than the sum of its proper divisors (13469904).

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

5679072 is a wasteful number, since it uses less digits than its factorization.

5679072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 325 counting only the distinct ones).

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

The square root of 5679072 is about 2383.0803595347. The cubic root of 5679072 is about 178.4127106577.

It can be divided in two parts, 567 and 9072, that multiplied together give a square (5143824 = 22682).

The spelling of 5679072 in words is "five million, six hundred seventy-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 313 324 336 378 432 504 567 626 648 672 756 864 939 1008 1134 1252 1296 1512 1878 2016 2191 2268 2504 2592 2817 3024 3756 4382 4536 5008 5634 6048 6573 7512 8451 8764 9072 10016 11268 13146 15024 16902 17528 18144 19719 22536 25353 26292 30048 33804 35056 39438 45072 50706 52584 59157 67608 70112 78876 90144 101412 105168 118314 135216 157752 177471 202824 210336 236628 270432 315504 354942 405648 473256 631008 709884 811296 946512 1419768 1893024 2839536 5679072