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12339096 = 2337112607
BaseRepresentation
bin101111000100…
…011110011000
3212012220001120
4233010132120
511124322341
61120245240
7206611020
oct57043630
925186046
1012339096
116a68600
124170820
132730453
1418d2a80
15113b066
hexbc4798

12339096 has 96 divisors (see below), whose sum is σ = 38814720. Its totient is φ = 3199680.

The previous prime is 12339043. The next prime is 12339097. The reversal of 12339096 is 69093321.

12339096 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 Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12339097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20025 + ... + 20631.

It is an arithmetic number, because the mean of its divisors is an integer number (404320).

Almost surely, 212339096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12339096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19407360).

12339096 is an abundant number, since it is smaller than the sum of its proper divisors (26475624).

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

12339096 is a wasteful number, since it uses less digits than its factorization.

12339096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 12339096 is about 3512.7049406405. The cubic root of 12339096 is about 231.0793378274.

The spelling of 12339096 in words is "twelve million, three hundred thirty-nine thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 607 616 726 847 924 968 1214 1452 1694 1821 1848 2428 2541 2904 3388 3642 4249 4856 5082 6677 6776 7284 8498 10164 12747 13354 14568 16996 20031 20328 25494 26708 33992 40062 46739 50988 53416 73447 80124 93478 101976 140217 146894 160248 186956 220341 280434 293788 373912 440682 514129 560868 587576 881364 1028258 1121736 1542387 1762728 2056516 3084774 4113032 6169548 12339096