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12265992 = 233423823
BaseRepresentation
bin101110110010…
…101000001000
3212002011210000
4232302220020
511120002432
61114523000
7206154624
oct56625010
925064700
1012265992
116a18692
124136460
1327060ab
1418b4184
15112457c
hexbb2a08

12265992 has 80 divisors (see below), whose sum is σ = 35893440. Its totient is φ = 3906144.

The previous prime is 12265991. The next prime is 12265999. The reversal of 12265992 is 29956221.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (12265991) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14493 + ... + 15315.

It is an arithmetic number, because the mean of its divisors is an integer number (448668).

Almost surely, 212265992 is an apocalyptic number.

12265992 is a gapful number since it is divisible by the number (12) 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 12265992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17946720).

12265992 is an abundant number, since it is smaller than the sum of its proper divisors (23627448).

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

12265992 is a wasteful number, since it uses less digits than its factorization.

12265992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 851 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 12265992 is about 3502.2838263053. The cubic root of 12265992 is about 230.6220840401.

The spelling of 12265992 in words is "twelve million, two hundred sixty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 823 828 1242 1646 1656 1863 2469 2484 3292 3726 4938 4968 6584 7407 7452 9876 14814 14904 18929 19752 22221 29628 37858 44442 56787 59256 66663 75716 88884 113574 133326 151432 170361 177768 227148 266652 340722 454296 511083 533304 681444 1022166 1362888 1533249 2044332 3066498 4088664 6132996 12265992