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12282516 = 2234167227
BaseRepresentation
bin101110110110…
…101010010100
3212010000110000
4232312222110
511121020031
61115131300
7206254041
oct56665224
925100400
1012282516
116a2a044
124143b30
13271077c
1418ba1c8
1511293e6
hexbb6a94

12282516 has 60 divisors (see below), whose sum is σ = 32443488. Its totient is φ = 4051728.

The previous prime is 12282511. The next prime is 12282547. The reversal of 12282516 is 61528221.

It is a happy number.

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 12282516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12282511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53995 + ... + 54221.

Almost surely, 212282516 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 12282516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16221744).

12282516 is an abundant number, since it is smaller than the sum of its proper divisors (20160972).

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

12282516 is a wasteful number, since it uses less digits than its factorization.

12282516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 399 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 12282516 is about 3504.6420644625. The cubic root of 12282516 is about 230.7255975966.

The spelling of 12282516 in words is "twelve million, two hundred eighty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 167 227 324 334 454 501 668 681 908 1002 1362 1503 2004 2043 2724 3006 4086 4509 6012 6129 8172 9018 12258 13527 18036 18387 24516 27054 36774 37909 54108 73548 75818 113727 151636 227454 341181 454908 682362 1023543 1364724 2047086 3070629 4094172 6141258 12282516