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5712480 = 253253967
BaseRepresentation
bin10101110010101001100000
3101202020001100
4111302221200
52430244410
6322234400
766361314
oct25625140
911666040
105712480
113251964
121ab5a00
131250187
14a89b44
1577c8c0
hex572a60

5712480 has 72 divisors (see below), whose sum is σ = 19498752. Its totient is φ = 1522944.

The previous prime is 5712479. The next prime is 5712491. The reversal of 5712480 is 842175.

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is a congruent number.

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, 544 + ... + 3423.

It is an arithmetic number, because the mean of its divisors is an integer number (270816).

Almost surely, 25712480 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 5712480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9749376).

5712480 is an abundant number, since it is smaller than the sum of its proper divisors (13786272).

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

5712480 is a wasteful number, since it uses less digits than its factorization.

5712480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3988 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5712480 is about 2390.0794965858. The cubic root of 5712480 is about 178.7618734676.

The spelling of 5712480 in words is "five million, seven hundred twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3967 7934 11901 15868 19835 23802 31736 35703 39670 47604 59505 63472 71406 79340 95208 119010 126944 142812 158680 178515 190416 238020 285624 317360 357030 380832 476040 571248 634720 714060 952080 1142496 1428120 1904160 2856240 5712480