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12399240 = 2335729509
BaseRepresentation
bin101111010011…
…001010001000
3212022221120010
4233103022020
511133233430
61121431520
7210251250
oct57231210
925287503
1012399240
116aa9807
12419b5a0
132751939
14190a960
15114dcb0
hexbd3288

12399240 has 128 divisors (see below), whose sum is σ = 44064000. Its totient is φ = 2731008.

The previous prime is 12399199. The next prime is 12399251. The reversal of 12399240 is 4299321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12399198 and 12399207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24106 + ... + 24614.

It is an arithmetic number, because the mean of its divisors is an integer number (344250).

Almost surely, 212399240 is an apocalyptic number.

12399240 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 12399240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22032000).

12399240 is an abundant number, since it is smaller than the sum of its proper divisors (31664760).

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

12399240 is a wasteful number, since it uses less digits than its factorization.

12399240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 12399240 is about 3521.2554579297. The cubic root of 12399240 is about 231.4541766256.

The spelling of 12399240 in words is "twelve million, three hundred ninety-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 232 280 290 348 406 420 435 509 580 609 696 812 840 870 1015 1018 1160 1218 1527 1624 1740 2030 2036 2436 2545 3045 3054 3480 3563 4060 4072 4872 5090 6090 6108 7126 7635 8120 10180 10689 12180 12216 14252 14761 15270 17815 20360 21378 24360 28504 29522 30540 35630 42756 44283 53445 59044 61080 71260 73805 85512 88566 103327 106890 118088 142520 147610 177132 206654 213780 221415 295220 309981 354264 413308 427560 442830 516635 590440 619962 826616 885660 1033270 1239924 1549905 1771320 2066540 2479848 3099810 4133080 6199620 12399240