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12297824 = 2572112331
BaseRepresentation
bin101110111010…
…011001100000
3212010210102222
4232322121200
511122012244
61115330212
7206346500
oct56723140
925123388
1012297824
116a3a5a0
124150968
132717726
1418c1a00
15112dbee
hexbba660

12297824 has 144 divisors (see below), whose sum is σ = 33094656. Its totient is φ = 4435200.

The previous prime is 12297823. The next prime is 12297829. The reversal of 12297824 is 42879221.

12297824 is digitally balanced in base 2 and base 8, 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 (35) coincides with the sum of the digits of its prime factors.

12297824 is strictly pandigital in base 8.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12297821) 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, 396689 + ... + 396719.

It is an arithmetic number, because the mean of its divisors is an integer number (229824).

Almost surely, 212297824 is an apocalyptic number.

12297824 is a gapful number since it is divisible by the number (14) 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 12297824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547328).

12297824 is an abundant number, since it is smaller than the sum of its proper divisors (20796832).

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

12297824 is a wasteful number, since it uses less digits than its factorization.

12297824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 74 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 12297824 is about 3506.8253449523. The cubic root of 12297824 is about 230.8214107874.

The spelling of 12297824 in words is "twelve million, two hundred ninety-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 31 32 44 46 49 56 62 77 88 92 98 112 124 154 161 176 184 196 217 224 248 253 308 322 341 352 368 392 434 496 506 539 616 644 682 713 736 784 868 992 1012 1078 1127 1232 1288 1364 1426 1519 1568 1736 1771 2024 2156 2254 2387 2464 2576 2728 2852 3038 3472 3542 4048 4312 4508 4774 4991 5152 5456 5704 6076 6944 7084 7843 8096 8624 9016 9548 9982 10912 11408 12152 12397 14168 15686 16709 17248 18032 19096 19964 22816 24304 24794 28336 31372 33418 34937 36064 38192 39928 48608 49588 54901 56672 62744 66836 69874 76384 79856 99176 109802 125488 133672 139748 159712 198352 219604 250976 267344 279496 384307 396704 439208 534688 558992 768614 878416 1117984 1537228 1756832 3074456 6148912 12297824