Search a number
-
+
5320392 = 2337112879
BaseRepresentation
bin10100010010111011001000
3101000022012120
4110102323020
52330223032
6310011240
763136230
oct24227310
911008176
105320392
113004320
121946b20
13114387c
149c6cc0
1570162c
hex512ec8

5320392 has 64 divisors (see below), whose sum is σ = 16588800. Its totient is φ = 1381440.

The previous prime is 5320387. The next prime is 5320409. The reversal of 5320392 is 2930235.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 5 + 38 + 23 + 0 + 314 + 94 + 219 .

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, 409 + ... + 3287.

It is an arithmetic number, because the mean of its divisors is an integer number (259200).

Almost surely, 25320392 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 5320392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294400).

5320392 is an abundant number, since it is smaller than the sum of its proper divisors (11268408).

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

5320392 is a wasteful number, since it uses less digits than its factorization.

5320392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 5320392 is about 2306.5974941459. The cubic root of 5320392 is about 174.5746622918.

The spelling of 5320392 in words is "five million, three hundred twenty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 2879 5758 8637 11516 17274 20153 23032 31669 34548 40306 60459 63338 69096 80612 95007 120918 126676 161224 190014 221683 241836 253352 380028 443366 483672 665049 760056 886732 1330098 1773464 2660196 5320392