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12145632 = 253126517
BaseRepresentation
bin101110010101…
…001111100000
3211212001200020
4232111033200
511102130012
61112153440
7205144002
oct56251740
924761606
1012145632
116946214
124098880
132693385
141882372
1510eda8c
hexb953e0

12145632 has 24 divisors (see below), whose sum is σ = 31882536. Its totient is φ = 4048512.

The previous prime is 12145607. The next prime is 12145669. The reversal of 12145632 is 23654121.

12145632 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 tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 63163 + ... + 63354.

It is an arithmetic number, because the mean of its divisors is an integer number (1328439).

Almost surely, 212145632 is an apocalyptic number.

12145632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12145632 is an abundant number, since it is smaller than the sum of its proper divisors (19736904).

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

12145632 is a wasteful number, since it uses less digits than its factorization.

12145632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126530 (or 126522 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 12145632 is about 3485.0583926241. The cubic root of 12145632 is about 229.8652771189.

Adding to 12145632 its reverse (23654121), we get a palindrome (35799753).

It can be divided in two parts, 121 and 45632, that added together give a triangular number (45753 = T302).

The spelling of 12145632 in words is "twelve million, one hundred forty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 126517 253034 379551 506068 759102 1012136 1518204 2024272 3036408 4048544 6072816 12145632