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12630464 = 267112233
BaseRepresentation
bin110000001011…
…100111000000
3212202200201222
4300023213000
511213133324
61130414212
7212233340
oct60134700
925680658
1012630464
117147500
124291368
132802c62
14196ad20
15119755e
hexc0b9c0

12630464 has 84 divisors (see below), whose sum is σ = 31619952. Its totient is φ = 4899840.

The previous prime is 12630463. The next prime is 12630481. The reversal of 12630464 is 46403621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12630461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54092 + ... + 54324.

It is an arithmetic number, because the mean of its divisors is an integer number (376428).

Almost surely, 212630464 is an apocalyptic number.

12630464 is a gapful number since it is divisible by the number (14) 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 12630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15809976).

12630464 is an abundant number, since it is smaller than the sum of its proper divisors (18989488).

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

12630464 is a wasteful number, since it uses less digits than its factorization.

12630464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 12630464 is about 3553.9364091103. The cubic root of 12630464 is about 232.8840624924.

The spelling of 12630464 in words is "twelve million, six hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 154 176 224 233 242 308 352 448 466 484 616 704 847 932 968 1232 1631 1694 1864 1936 2464 2563 3262 3388 3728 3872 4928 5126 6524 6776 7456 7744 10252 13048 13552 14912 17941 20504 26096 27104 28193 35882 41008 52192 54208 56386 71764 82016 104384 112772 143528 164032 197351 225544 287056 394702 451088 574112 789404 902176 1148224 1578808 1804352 3157616 6315232 12630464