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13206284 = 2272137173
BaseRepresentation
bin110010011000…
…001100001100
3220211221121122
4302120030030
511340100114
61151020112
7220152200
oct62301414
926757548
1013206284
117500093
12450a638
132975090
141a7ab00
15125ce8e
hexc9830c

13206284 has 72 divisors (see below), whose sum is σ = 29762208. Its totient is φ = 5080320.

The previous prime is 13206269. The next prime is 13206307. The reversal of 13206284 is 48260231.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180872 + ... + 180944.

It is an arithmetic number, because the mean of its divisors is an integer number (413364).

Almost surely, 213206284 is an apocalyptic number.

13206284 is a gapful number since it is divisible by the number (14) 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 13206284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881104).

13206284 is an abundant number, since it is smaller than the sum of its proper divisors (16555924).

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

13206284 is a wasteful number, since it uses less digits than its factorization.

13206284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 13206284 is about 3634.0451290538. The cubic root of 13206284 is about 236.3706471114.

The spelling of 13206284 in words is "thirteen million, two hundred six thousand, two hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 71 73 91 98 142 146 182 196 284 292 364 497 511 637 923 949 994 1022 1274 1846 1898 1988 2044 2548 3479 3577 3692 3796 5183 6461 6643 6958 7154 10366 12922 13286 13916 14308 20732 25844 26572 36281 45227 46501 67379 72562 90454 93002 134758 145124 180908 186004 253967 269516 471653 507934 943306 1015868 1886612 3301571 6603142 13206284