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12393776 = 241959691
BaseRepresentation
bin101111010001…
…110100110000
3212022200001202
4233101310300
511133100101
61121350332
7210226313
oct57216460
925280052
1012393776
116aa569a
1241983a8
13274c2c5
14190897a
15114c36b
hexbd1d30

12393776 has 40 divisors (see below), whose sum is σ = 25742400. Its totient is φ = 5762880.

The previous prime is 12393743. The next prime is 12393791. The reversal of 12393776 is 67739321.

12393776 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 (38).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17591 + ... + 18281.

It is an arithmetic number, because the mean of its divisors is an integer number (643560).

Almost surely, 212393776 is an apocalyptic number.

12393776 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 12393776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12871200).

12393776 is an abundant number, since it is smaller than the sum of its proper divisors (13348624).

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

12393776 is a wasteful number, since it uses less digits than its factorization.

12393776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 771 counting only the distinct ones).

The product of its digits is 47628, while the sum is 38.

The square root of 12393776 is about 3520.4795127937. The cubic root of 12393776 is about 231.4201731589.

The spelling of 12393776 in words is "twelve million, three hundred ninety-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 19 38 59 76 118 152 236 304 472 691 944 1121 1382 2242 2764 4484 5528 8968 11056 13129 17936 26258 40769 52516 81538 105032 163076 210064 326152 652304 774611 1549222 3098444 6196888 12393776