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12431040 = 263523563
BaseRepresentation
bin101111011010…
…111011000000
3212101120011220
4233122323000
511140243130
61122235040
7210443046
oct57327300
925346156
1012431040
117020696
1241b5a80
13276325b
141918396
151158410
hexbdaec0

12431040 has 112 divisors (see below), whose sum is σ = 41257728. Its totient is φ = 3165184.

The previous prime is 12431033. The next prime is 12431057. The reversal of 12431040 is 4013421.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21799 + ... + 22361.

Almost surely, 212431040 is an apocalyptic number.

12431040 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 12431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20628864).

12431040 is an abundant number, since it is smaller than the sum of its proper divisors (28826688).

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

12431040 is a wasteful number, since it uses less digits than its factorization.

12431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12431040 is about 3525.7680014431. The cubic root of 12431040 is about 231.6518758277.

Adding to 12431040 its reverse (4013421), we get a palindrome (16444461).

The spelling of 12431040 in words is "twelve million, four hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 563 690 736 920 960 1104 1126 1380 1472 1689 1840 2208 2252 2760 2815 3378 3680 4416 4504 5520 5630 6756 7360 8445 9008 11040 11260 12949 13512 16890 18016 22080 22520 25898 27024 33780 36032 38847 45040 51796 54048 64745 67560 77694 90080 103592 108096 129490 135120 155388 180160 194235 207184 258980 270240 310776 388470 414368 517960 540480 621552 776940 828736 1035920 1243104 1553880 2071840 2486208 3107760 4143680 6215520 12431040