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12083136 = 2631347103
BaseRepresentation
bin101110000101…
…111111000000
3211201212221120
4232011333000
511043130021
61110552240
7204463542
oct56057700
924655846
1012083136
11690326a
124068680
132670ab0
141867692
1510da2c6
hexb85fc0

12083136 has 112 divisors (see below), whose sum is σ = 35503104. Its totient is φ = 3603456.

The previous prime is 12083117. The next prime is 12083167. The reversal of 12083136 is 63138021.

12083136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117261 + ... + 117363.

It is an arithmetic number, because the mean of its divisors is an integer number (316992).

Almost surely, 212083136 is an apocalyptic number.

12083136 is a gapful number since it is divisible by the number (16) 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 12083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17751552).

12083136 is an abundant number, since it is smaller than the sum of its proper divisors (23419968).

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

12083136 is a wasteful number, since it uses less digits than its factorization.

12083136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12083136 is about 3476.0805514257. The cubic root of 12083136 is about 229.4703375830.

The spelling of 12083136 in words is "twelve million, eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 64 78 94 96 103 104 141 156 188 192 206 208 282 309 312 376 412 416 564 611 618 624 752 824 832 1128 1222 1236 1248 1339 1504 1648 1833 2256 2444 2472 2496 2678 3008 3296 3666 4017 4512 4841 4888 4944 5356 6592 7332 8034 9024 9682 9776 9888 10712 14523 14664 16068 19364 19552 19776 21424 29046 29328 32136 38728 39104 42848 58092 58656 62933 64272 77456 85696 116184 117312 125866 128544 154912 188799 232368 251732 257088 309824 377598 464736 503464 755196 929472 1006928 1510392 2013856 3020784 4027712 6041568 12083136