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12431440 = 245779281
BaseRepresentation
bin101111011011…
…000001010000
3212101120201201
4233123001100
511140301230
61122240544
7210444160
oct57330120
925346651
1012431440
117020a1a
1241b6154
1327634a8
1419185a0
1511585ca
hexbdb050

12431440 has 80 divisors (see below), whose sum is σ = 33569280. Its totient is φ = 4193280.

The previous prime is 12431413. The next prime is 12431443. The reversal of 12431440 is 4413421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12431443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 44100 + ... + 44380.

It is an arithmetic number, because the mean of its divisors is an integer number (419616).

Almost surely, 212431440 is an apocalyptic number.

12431440 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 12431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16784640).

12431440 is an abundant number, since it is smaller than the sum of its proper divisors (21137840).

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

12431440 is a wasteful number, since it uses less digits than its factorization.

12431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 12431440 is about 3525.8247262165. The cubic root of 12431440 is about 231.6543604617.

Adding to 12431440 its reverse (4413421), we get a palindrome (16844861).

The spelling of 12431440 in words is "twelve million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 79 80 112 140 158 280 281 316 395 553 560 562 632 790 1106 1124 1264 1405 1580 1967 2212 2248 2765 2810 3160 3934 4424 4496 5530 5620 6320 7868 8848 9835 11060 11240 15736 19670 22120 22199 22480 31472 39340 44240 44398 78680 88796 110995 155393 157360 177592 221990 310786 355184 443980 621572 776965 887960 1243144 1553930 1775920 2486288 3107860 6215720 12431440