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5320008 = 2332371997
BaseRepresentation
bin10100010010110101001000
3101000021200100
4110102311020
52330220013
6310005400
763135141
oct24226510
911007610
105320008
113004001
121946860
131143645
149c6ac8
15701473
hex512d48

5320008 has 48 divisors (see below), whose sum is σ = 14805180. Its totient is φ = 1724544.

The previous prime is 5319989. The next prime is 5320027. The reversal of 5320008 is 8000235.

It is an interprime number because it is at equal distance from previous prime (5319989) and next prime (5320027).

It can be written as a sum of positive squares in 2 ways, for example, as 5280804 + 39204 = 2298^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1666 + ... + 3662.

Almost surely, 25320008 is an apocalyptic number.

5320008 is the 1332-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5320008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402590).

5320008 is an abundant number, since it is smaller than the sum of its proper divisors (9485172).

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

5320008 is a wasteful number, since it uses less digits than its factorization.

5320008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5320008 is about 2306.5142531534. The cubic root of 5320008 is about 174.5704622076.

The spelling of 5320008 in words is "five million, three hundred twenty thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 1997 2664 3994 5991 7988 11982 15976 17973 23964 35946 47928 71892 73889 143784 147778 221667 295556 443334 591112 665001 886668 1330002 1773336 2660004 5320008