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5203680 = 253537293
BaseRepresentation
bin10011110110011011100000
3100210101002220
4103312123200
52313004210
6303311040
762142036
oct23663340
910711086
105203680
112a34669
1218ab480
131102701
14996556
156cbc70
hex4f66e0

5203680 has 96 divisors (see below), whose sum is σ = 16892064. Its totient is φ = 1345536.

The previous prime is 5203669. The next prime is 5203687. The reversal of 5203680 is 863025.

5203680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5203680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5203687) 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, 17614 + ... + 17906.

It is an arithmetic number, because the mean of its divisors is an integer number (175959).

Almost surely, 25203680 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 5203680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8446032).

5203680 is an abundant number, since it is smaller than the sum of its proper divisors (11688384).

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

5203680 is a wasteful number, since it uses less digits than its factorization.

5203680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5203680 is about 2281.1576008685. The cubic root of 5203680 is about 173.2886801479.

The spelling of 5203680 in words is "five million, two hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 293 296 370 444 480 555 586 592 740 879 888 1110 1172 1184 1465 1480 1758 1776 2220 2344 2930 2960 3516 3552 4395 4440 4688 5860 5920 7032 8790 8880 9376 10841 11720 14064 17580 17760 21682 23440 28128 32523 35160 43364 46880 54205 65046 70320 86728 108410 130092 140640 162615 173456 216820 260184 325230 346912 433640 520368 650460 867280 1040736 1300920 1734560 2601840 5203680