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12153132 = 2233131859
BaseRepresentation
bin101110010111…
…000100101100
3211212102222000
4232113010230
511102400012
61112252300
7205204605
oct56270454
924772860
1012153132
116950912
1240a1090
132696904
141884dac
151100ddc
hexb9712c

12153132 has 48 divisors (see below), whose sum is σ = 31785600. Its totient is φ = 4015440.

The previous prime is 12153121. The next prime is 12153137. The reversal of 12153132 is 23135121.

12153132 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12153137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13719 + ... + 14577.

It is an arithmetic number, because the mean of its divisors is an integer number (662200).

Almost surely, 212153132 is an apocalyptic number.

12153132 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 12153132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15892800).

12153132 is an abundant number, since it is smaller than the sum of its proper divisors (19632468).

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

12153132 is a wasteful number, since it uses less digits than its factorization.

12153132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 995 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 12153132 is about 3486.1342487059. The cubic root of 12153132 is about 229.9125817752.

Adding to 12153132 its reverse (23135121), we get a palindrome (35288253).

The spelling of 12153132 in words is "twelve million, one hundred fifty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 524 786 859 1179 1572 1718 2358 2577 3436 3537 4716 5154 7074 7731 10308 14148 15462 23193 30924 46386 92772 112529 225058 337587 450116 675174 1012761 1350348 2025522 3038283 4051044 6076566 12153132