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5215680 = 263251811
BaseRepresentation
bin10011111001010111000000
3100210222120100
4103321113000
52313400210
6303442400
762222031
oct23712700
910728510
105215680
112a42688
1218b6400
131108002
1499aa88
156d05c0
hex4f95c0

5215680 has 84 divisors (see below), whose sum is σ = 17949672. Its totient is φ = 1390080.

The previous prime is 5215673. The next prime is 5215699. The reversal of 5215680 is 865125.

It is a zygodrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1975 + ... + 3785.

Almost surely, 25215680 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 5215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8974836).

5215680 is an abundant number, since it is smaller than the sum of its proper divisors (12733992).

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

5215680 is a wasteful number, since it uses less digits than its factorization.

5215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5215680 is about 2283.7863297603. The cubic root of 5215680 is about 173.4217826030.

The spelling of 5215680 in words is "five million, two hundred fifteen thousand, six 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 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 1811 2880 3622 5433 7244 9055 10866 14488 16299 18110 21732 27165 28976 32598 36220 43464 54330 57952 65196 72440 81495 86928 108660 115904 130392 144880 162990 173856 217320 260784 289760 325980 347712 434640 521568 579520 651960 869280 1043136 1303920 1738560 2607840 5215680