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12420132 = 22317107569
BaseRepresentation
bin101111011000…
…010000100100
3212101000012220
4233120100210
511134421012
61122112340
7210366204
oct57302044
925330186
1012420132
11701347a
1241ab6b0
13275b2ba
141914404
15115508c
hexbd8424

12420132 has 48 divisors (see below), whose sum is σ = 31026240. Its totient is φ = 3853312.

The previous prime is 12420131. The next prime is 12420137. The reversal of 12420132 is 23102421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12420131) 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, 21544 + ... + 22112.

It is an arithmetic number, because the mean of its divisors is an integer number (646380).

Almost surely, 212420132 is an apocalyptic number.

12420132 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 12420132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513120).

12420132 is an abundant number, since it is smaller than the sum of its proper divisors (18606108).

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

12420132 is a wasteful number, since it uses less digits than its factorization.

12420132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12420132 is about 3524.2207649351. The cubic root of 12420132 is about 231.5840993018.

Adding to 12420132 its reverse (23102421), we get a palindrome (35522553).

The spelling of 12420132 in words is "twelve million, four hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 107 204 214 321 428 569 642 1138 1284 1707 1819 2276 3414 3638 5457 6828 7276 9673 10914 19346 21828 29019 38692 58038 60883 116076 121766 182649 243532 365298 730596 1035011 2070022 3105033 4140044 6210066 12420132