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12631416 = 2337223467
BaseRepresentation
bin110000001011…
…110101111000
3212202202001020
4300023311320
511213201131
61130422440
7212236200
oct60136570
925682036
1012631416
117148196
124291a20
132803515
14196b400
151197996
hexc0bd78

12631416 has 96 divisors (see below), whose sum is σ = 38413440. Its totient is φ = 3444672.

The previous prime is 12631387. The next prime is 12631417. The reversal of 12631416 is 61413621.

12631416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12631417) 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, 26815 + ... + 27281.

It is an arithmetic number, because the mean of its divisors is an integer number (400140).

Almost surely, 212631416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12631416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206720).

12631416 is an abundant number, since it is smaller than the sum of its proper divisors (25782024).

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

12631416 is a wasteful number, since it uses less digits than its factorization.

12631416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 502 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 12631416 is about 3554.0703425791. The cubic root of 12631416 is about 232.8899134270.

The spelling of 12631416 in words is "twelve million, six hundred thirty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 49 56 69 84 92 98 138 147 161 168 184 196 276 294 322 392 467 483 552 588 644 934 966 1127 1176 1288 1401 1868 1932 2254 2802 3269 3381 3736 3864 4508 5604 6538 6762 9016 9807 10741 11208 13076 13524 19614 21482 22883 26152 27048 32223 39228 42964 45766 64446 68649 75187 78456 85928 91532 128892 137298 150374 183064 225561 257784 274596 300748 451122 526309 549192 601496 902244 1052618 1578927 1804488 2105236 3157854 4210472 6315708 12631416