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14820520 = 23511132591
BaseRepresentation
bin111000100010…
…010010101000
31000212221221011
4320202102220
512243224040
61245353304
7236654341
oct70422250
930787834
1014820520
118402970
124b68834
1330bba50
141d7b0c8
15147b3ea
hexe224a8

14820520 has 64 divisors (see below), whose sum is σ = 39191040. Its totient is φ = 4972800.

The previous prime is 14820517. The next prime is 14820521. The reversal of 14820520 is 2502841.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 14820491 and 14820500.

It is not an unprimeable number, because it can be changed into a prime (14820521) 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, 4425 + ... + 7015.

It is an arithmetic number, because the mean of its divisors is an integer number (612360).

Almost surely, 214820520 is an apocalyptic number.

14820520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14820520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

14820520 is an abundant number, since it is smaller than the sum of its proper divisors (24370520).

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

14820520 is a wasteful number, since it uses less digits than its factorization.

14820520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 14820520 is about 3849.7428485550. The cubic root of 14820520 is about 245.6336229861.

It can be divided in two parts, 148205 and 20, that added together give a square (148225 = 3852).

The spelling of 14820520 in words is "fourteen million, eight hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2591 2860 5182 5720 10364 12955 20728 25910 28501 33683 51820 57002 67366 103640 114004 134732 142505 168415 228008 269464 285010 336830 370513 570020 673660 741026 1140040 1347320 1482052 1852565 2964104 3705130 7410260 14820520