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12329240 = 2357114003
BaseRepresentation
bin101111000010…
…000100011000
3212012101112112
4233002010120
511124013430
61120131452
7206540210
oct57020430
925171475
1012329240
116a61160
124166b88
132728b11
1418cd240
151138195
hexbc2118

12329240 has 64 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 3841920.

The previous prime is 12329237. The next prime is 12329243. The reversal of 12329240 is 4292321.

It is an interprime number because it is at equal distance from previous prime (12329237) and next prime (12329243).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12329243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1079 + ... + 5081.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 212329240 is an apocalyptic number.

12329240 is a gapful number since it is divisible by the number (10) 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 12329240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

12329240 is an abundant number, since it is smaller than the sum of its proper divisors (22265320).

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

12329240 is a wasteful number, since it uses less digits than its factorization.

12329240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 12329240 is about 3511.3017529116. The cubic root of 12329240 is about 231.0177956468.

The spelling of 12329240 in words is "twelve million, three hundred twenty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 4003 8006 16012 20015 28021 32024 40030 44033 56042 80060 88066 112084 140105 160120 176132 220165 224168 280210 308231 352264 440330 560420 616462 880660 1120840 1232924 1541155 1761320 2465848 3082310 6164620 12329240