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12139632 = 2434171929
BaseRepresentation
bin101110010011…
…110001110000
3211211202110000
4232103301300
511101432012
61112110000
7205120341
oct56236160
924752400
1012139632
11694175a
124095300
13269071b
1418800c8
1510ebddc
hexb93c70

12139632 has 200 divisors, whose sum is σ = 40510800. Its totient is φ = 3483648.

The previous prime is 12139627. The next prime is 12139637. The reversal of 12139632 is 23693121.

12139632 is a `hidden beast` number, since 1 + 21 + 3 + 9 + 632 = 666.

12139632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12139627) and next prime (12139637).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 12139596 and 12139605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12139637) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 418594 + ... + 418622.

It is an arithmetic number, because the mean of its divisors is an integer number (202554).

Almost surely, 212139632 is an apocalyptic number.

12139632 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 12139632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20255400).

12139632 is an abundant number, since it is smaller than the sum of its proper divisors (28371168).

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

12139632 is a wasteful number, since it uses less digits than its factorization.

12139632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 70 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 12139632 is about 3484.1974685715. The cubic root of 12139632 is about 229.8274193707.

The spelling of 12139632 in words is "twelve million, one hundred thirty-nine thousand, six hundred thirty-two".