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16812306 = 233779563
BaseRepresentation
bin100000000100…
…0100100010010
31011122011011000
41000020210102
513300443211
61400202430
7262621320
oct100104422
934564130
1016812306
119543375
125769416
133638514
142338d10
151721656
hex1008912

16812306 has 64 divisors (see below), whose sum is σ = 43315200. Its totient is φ = 4734288.

The previous prime is 16812281. The next prime is 16812307. The reversal of 16812306 is 60321861.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 16812306.

It is not an unprimeable number, because it can be changed into a prime (16812307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29581 + ... + 30143.

It is an arithmetic number, because the mean of its divisors is an integer number (676800).

Almost surely, 216812306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16812306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21657600).

16812306 is an abundant number, since it is smaller than the sum of its proper divisors (26502894).

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

16812306 is a wasteful number, since it uses less digits than its factorization.

16812306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 16812306 is about 4100.2812098684. The cubic root of 16812306 is about 256.1783526840.

The spelling of 16812306 in words is "sixteen million, eight hundred twelve thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 126 158 189 237 378 474 553 563 711 1106 1126 1422 1659 1689 2133 3318 3378 3941 4266 4977 5067 7882 9954 10134 11823 14931 15201 23646 29862 30402 35469 44477 70938 88954 106407 133431 212814 266862 311339 400293 622678 800586 934017 1200879 1868034 2401758 2802051 5604102 8406153 16812306