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12403416 = 2332971251
BaseRepresentation
bin101111010100…
…001011011000
3212100011021210
4233110023120
511133402131
61121503120
7210266364
oct57241330
925304253
1012403416
117001963
1241a1aa0
1327537cc
14190c2a4
151150146
hexbd42d8

12403416 has 64 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 3920000.

The previous prime is 12403397. The next prime is 12403423. The reversal of 12403416 is 61430421.

12403416 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12403392 and 12403401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49291 + ... + 49541.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 212403416 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 12403416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

12403416 is an abundant number, since it is smaller than the sum of its proper divisors (20255784).

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

12403416 is a wasteful number, since it uses less digits than its factorization.

12403416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 12403416 is about 3521.8483783377. The cubic root of 12403416 is about 231.4801578996.

Adding to 12403416 its reverse (61430421), we get a palindrome (73833837).

It can be divided in two parts, 1240 and 3416, that added together give a triangular number (4656 = T96).

The spelling of 12403416 in words is "twelve million, four hundred three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 58 71 87 116 142 174 213 232 251 284 348 426 502 568 696 753 852 1004 1506 1704 2008 2059 3012 4118 6024 6177 7279 8236 12354 14558 16472 17821 21837 24708 29116 35642 43674 49416 53463 58232 71284 87348 106926 142568 174696 213852 427704 516809 1033618 1550427 2067236 3100854 4134472 6201708 12403416