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5328480 = 253517653
BaseRepresentation
bin10100010100111001100000
3101000201022010
4110110321200
52331002410
6310112520
763201633
oct24247140
911021263
105328480
11300a403
12194b740
131147461
149c9c1a
15703c20
hex514e60

5328480 has 96 divisors (see below), whose sum is σ = 17799264. Its totient is φ = 1335296.

The previous prime is 5328451. The next prime is 5328487. The reversal of 5328480 is 848235.

5328480 is a nontrivial binomial coefficient, being equal to C(3265, 2).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×53284802 = 56785398220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5328487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7834 + ... + 8486.

It is an arithmetic number, because the mean of its divisors is an integer number (185409).

Almost surely, 25328480 is an apocalyptic number.

5328480 is the 3264-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5328480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8899632).

5328480 is an abundant number, since it is smaller than the sum of its proper divisors (12470784).

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

5328480 is a wasteful number, since it uses less digits than its factorization.

5328480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 5328480 is about 2308.3500601079. The cubic root of 5328480 is about 174.6630796484.

The spelling of 5328480 in words is "five million, three hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 653 680 816 1020 1306 1360 1632 1959 2040 2612 2720 3265 3918 4080 5224 6530 7836 8160 9795 10448 11101 13060 15672 19590 20896 22202 26120 31344 33303 39180 44404 52240 55505 62688 66606 78360 88808 104480 111010 133212 156720 166515 177616 222020 266424 313440 333030 355232 444040 532848 666060 888080 1065696 1332120 1776160 2664240 5328480