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12261408 = 253337379
BaseRepresentation
bin101110110001…
…100000100000
3212001221111020
4232301200200
511114331113
61114445440
7206135355
oct56614040
925057436
1012261408
116a151a5
124133880
132703c93
1418b262c
151123023
hexbb1820

12261408 has 48 divisors (see below), whose sum is σ = 32366880. Its totient is φ = 4064256.

The previous prime is 12261383. The next prime is 12261409. The reversal of 12261408 is 80416221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×122614082 = 300684252284928, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12261409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32163 + ... + 32541.

It is an arithmetic number, because the mean of its divisors is an integer number (674310).

Almost surely, 212261408 is an apocalyptic number.

12261408 is the 2022-nd octagonal number.

It is an amenable number.

12261408 is an abundant number, since it is smaller than the sum of its proper divisors (20105472).

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

12261408 is a wasteful number, since it uses less digits than its factorization.

12261408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12261408 is about 3501.6293350382. The cubic root of 12261408 is about 230.5933513904.

Adding to 12261408 its reverse (80416221), we get a palindrome (92677629).

The spelling of 12261408 in words is "twelve million, two hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 337 379 674 758 1011 1137 1348 1516 2022 2274 2696 3032 4044 4548 5392 6064 8088 9096 10784 12128 16176 18192 32352 36384 127723 255446 383169 510892 766338 1021784 1532676 2043568 3065352 4087136 6130704 12261408