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5395984 = 2411233143
BaseRepresentation
bin10100100101011000010000
3101011010220021
4110211120100
52340132414
6311353224
763602506
oct24453020
911133807
105395984
1130560a0
121982814
13116c0b9
14a06676
15718c24
hex525610

5395984 has 80 divisors (see below), whose sum is σ = 12570624. Its totient is φ = 2217600.

The previous prime is 5395967. The next prime is 5395991. The reversal of 5395984 is 4895935.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 5395984.

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, 125467 + ... + 125509.

Almost surely, 25395984 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 5395984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285312).

5395984 is an abundant number, since it is smaller than the sum of its proper divisors (7174640).

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

5395984 is a wasteful number, since it uses less digits than its factorization.

5395984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 110 counting only the distinct ones).

The product of its digits is 194400, while the sum is 43.

The square root of 5395984 is about 2322.9257413874. The cubic root of 5395984 is about 175.3975614501.

The spelling of 5395984 in words is "five million, three hundred ninety-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 23 31 43 44 46 62 86 88 92 124 172 176 184 248 253 341 344 368 473 496 506 682 688 713 946 989 1012 1333 1364 1426 1892 1978 2024 2666 2728 2852 3784 3956 4048 5332 5456 5704 7568 7843 7912 10664 10879 11408 14663 15686 15824 21328 21758 29326 30659 31372 43516 58652 61318 62744 87032 117304 122636 125488 174064 234608 245272 337249 490544 674498 1348996 2697992 5395984