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5269680 = 2432513563
BaseRepresentation
bin10100000110100010110000
3100220201122100
4110012202300
52322112210
6304540400
762535333
oct24064260
910821570
105269680
112a7a209
121921700
131126770
149b261a
156e15c0
hex5068b0

5269680 has 120 divisors (see below), whose sum is σ = 19092528. Its totient is φ = 1294848.

The previous prime is 5269679. The next prime is 5269681. The reversal of 5269680 is 869625.

It is an interprime number because it is at equal distance from previous prime (5269679) and next prime (5269681).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5269681) 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, 9079 + ... + 9641.

Almost surely, 25269680 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 5269680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9546264).

5269680 is an abundant number, since it is smaller than the sum of its proper divisors (13822848).

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

5269680 is a wasteful number, since it uses less digits than its factorization.

5269680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5269680 is about 2295.5783584970. The cubic root of 5269680 is about 174.0182303531.

The spelling of 5269680 in words is "five million, two hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 563 585 624 720 780 936 1040 1126 1170 1560 1689 1872 2252 2340 2815 3120 3378 4504 4680 5067 5630 6756 7319 8445 9008 9360 10134 11260 13512 14638 16890 20268 21957 22520 25335 27024 29276 33780 36595 40536 43914 45040 50670 58552 65871 67560 73190 81072 87828 101340 109785 117104 131742 135120 146380 175656 202680 219570 263484 292760 329355 351312 405360 439140 526968 585520 658710 878280 1053936 1317420 1756560 2634840 5269680