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12153204 = 22327291663
BaseRepresentation
bin101110010111…
…000101110100
3211212110001200
4232113011310
511102400304
61112252500
7205205040
oct56270564
924773050
1012153204
116950978
1240a1130
13269695b
141885020
151100e39
hexb97174

12153204 has 72 divisors (see below), whose sum is σ = 36341760. Its totient is φ = 3350592.

The previous prime is 12153203. The next prime is 12153221. The reversal of 12153204 is 40235121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12153203) 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 23 ways as a sum of consecutive naturals, for example, 6477 + ... + 8139.

Almost surely, 212153204 is an apocalyptic number.

12153204 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 12153204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18170880).

12153204 is an abundant number, since it is smaller than the sum of its proper divisors (24188556).

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

12153204 is a wasteful number, since it uses less digits than its factorization.

12153204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12153204 is about 3486.1445753153. The cubic root of 12153204 is about 229.9130358056.

Adding to 12153204 its reverse (40235121), we get a palindrome (52388325).

The spelling of 12153204 in words is "twelve million, one hundred fifty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1663 1827 2436 3326 3654 4989 6652 7308 9978 11641 14967 19956 23282 29934 34923 46564 48227 59868 69846 96454 104769 139692 144681 192908 209538 289362 337589 419076 434043 578724 675178 868086 1012767 1350356 1736172 2025534 3038301 4051068 6076602 12153204