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12414132 = 2232419823
BaseRepresentation
bin101111010110…
…110010110100
3212100200222200
4233112302310
511134223012
61122024500
7210342543
oct57266264
925320880
1012414132
117009a15
1241a8130
132758653
14191215a
1511533dc
hexbd6cb4

12414132 has 36 divisors (see below), whose sum is σ = 31493280. Its totient is φ = 4123152.

The previous prime is 12414121. The next prime is 12414133. The reversal of 12414132 is 23141421.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×124141322 = 308221346626848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12414133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14673 + ... + 15495.

Almost surely, 212414132 is an apocalyptic number.

12414132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12414132 is an abundant number, since it is smaller than the sum of its proper divisors (19079148).

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

12414132 is a wasteful number, since it uses less digits than its factorization.

12414132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1247 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 12414132 is about 3523.3694100960. The cubic root of 12414132 is about 231.5468015660.

Adding to 12414132 its reverse (23141421), we get a palindrome (35555553).

The spelling of 12414132 in words is "twelve million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 419 823 838 1257 1646 1676 2469 2514 3292 3771 4938 5028 7407 7542 9876 14814 15084 29628 344837 689674 1034511 1379348 2069022 3103533 4138044 6207066 12414132