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12325440 = 263537347
BaseRepresentation
bin101111000001…
…001001000000
3212012012022210
4233001021000
511123403230
61120102120
7206523141
oct57011100
925165283
1012325440
116a59316
124164940
13272717a
1418cbac8
151136eb0
hexbc1240

12325440 has 112 divisors (see below), whose sum is σ = 40306752. Its totient is φ = 3188736.

The previous prime is 12325427. The next prime is 12325441. The reversal of 12325440 is 4452321.

It is not an unprimeable number, because it can be changed into a prime (12325441) 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, 35347 + ... + 35693.

Almost surely, 212325440 is an apocalyptic number.

12325440 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 12325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20153376).

12325440 is an abundant number, since it is smaller than the sum of its proper divisors (27981312).

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

12325440 is a wasteful number, since it uses less digits than its factorization.

12325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 12325440 is about 3510.7606013512. The cubic root of 12325440 is about 230.9940591789.

Adding to 12325440 its reverse (4452321), we get a palindrome (16777761).

The spelling of 12325440 in words is "twelve million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 148 160 185 192 222 240 296 320 347 370 444 480 555 592 694 740 888 960 1041 1110 1184 1388 1480 1735 1776 2082 2220 2368 2776 2960 3470 3552 4164 4440 5205 5552 5920 6940 7104 8328 8880 10410 11104 11840 12839 13880 16656 17760 20820 22208 25678 27760 33312 35520 38517 41640 51356 55520 64195 66624 77034 83280 102712 111040 128390 154068 166560 192585 205424 256780 308136 333120 385170 410848 513560 616272 770340 821696 1027120 1232544 1540680 2054240 2465088 3081360 4108480 6162720 12325440