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5216760 = 2332543337
BaseRepresentation
bin10011111001100111111000
3100211001001100
4103321213320
52313414020
6303451400
762225133
oct23714770
910731040
105216760
112a4347a
1218b6b60
131108653
1499b21a
156d0a90
hex4f99f8

5216760 has 96 divisors (see below), whose sum is σ = 17400240. Its totient is φ = 1354752.

The previous prime is 5216759. The next prime is 5216767. The reversal of 5216760 is 676125.

5216760 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5216767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15312 + ... + 15648.

Almost surely, 25216760 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 5216760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8700120).

5216760 is an abundant number, since it is smaller than the sum of its proper divisors (12183480).

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

5216760 is a wasteful number, since it uses less digits than its factorization.

5216760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5216760 is about 2284.0227669618. The cubic root of 5216760 is about 173.4337518060.

The spelling of 5216760 in words is "five million, two hundred sixteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 337 344 360 387 430 516 645 674 774 860 1011 1032 1290 1348 1548 1685 1720 1935 2022 2580 2696 3033 3096 3370 3870 4044 5055 5160 6066 6740 7740 8088 10110 12132 13480 14491 15165 15480 20220 24264 28982 30330 40440 43473 57964 60660 72455 86946 115928 121320 130419 144910 173892 217365 260838 289820 347784 434730 521676 579640 652095 869460 1043352 1304190 1738920 2608380 5216760