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12401376 = 2531319523
BaseRepresentation
bin101111010011…
…101011100000
3212100001111020
4233103223200
511133321001
61121445440
7210260421
oct57235340
925301436
1012401376
117000379
1241a0880
1327528c0
14190b648
15114e736
hexbd3ae0

12401376 has 96 divisors (see below), whose sum is σ = 36973440. Its totient is φ = 3608064.

The previous prime is 12401369. The next prime is 12401399. The reversal of 12401376 is 67310421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 23451 + ... + 23973.

It is an arithmetic number, because the mean of its divisors is an integer number (385140).

Almost surely, 212401376 is an apocalyptic number.

12401376 is a gapful number since it is divisible by the number (16) 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 12401376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18486720).

12401376 is an abundant number, since it is smaller than the sum of its proper divisors (24572064).

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

12401376 is a wasteful number, since it uses less digits than its factorization.

12401376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 12401376 is about 3521.5587457829. The cubic root of 12401376 is about 231.4674666266.

Adding to 12401376 its reverse (67310421), we get a palindrome (79711797).

The spelling of 12401376 in words is "twelve million, four hundred one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 523 608 624 741 912 988 1046 1248 1482 1569 1824 1976 2092 2964 3138 3952 4184 5928 6276 6799 7904 8368 9937 11856 12552 13598 16736 19874 20397 23712 25104 27196 29811 39748 40794 50208 54392 59622 79496 81588 108784 119244 129181 158992 163176 217568 238488 258362 317984 326352 387543 476976 516724 652704 775086 953952 1033448 1550172 2066896 3100344 4133792 6200688 12401376