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12649480 = 235794003
BaseRepresentation
bin110000010000…
…010000001000
3212210122211021
4300100100020
511214240410
61131042224
7212342644
oct60202010
925718737
1012649480
11715a818
1242a0374
13280b7cc
141973c24
15119ceda
hexc10408

12649480 has 32 divisors (see below), whose sum is σ = 28828800. Its totient is φ = 4994496.

The previous prime is 12649453. The next prime is 12649487. The reversal of 12649480 is 8494621.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12649487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1159 + ... + 5161.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 212649480 is an apocalyptic number.

12649480 is a gapful number since it is divisible by the number (10) 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 12649480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14414400).

12649480 is an abundant number, since it is smaller than the sum of its proper divisors (16179320).

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

12649480 is a wasteful number, since it uses less digits than its factorization.

12649480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 12649480 is about 3556.6107462021. The cubic root of 12649480 is about 233.0008780137. Note that the first 3 decimals are identical.

The spelling of 12649480 in words is "twelve million, six hundred forty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 79 158 316 395 632 790 1580 3160 4003 8006 16012 20015 32024 40030 80060 160120 316237 632474 1264948 1581185 2529896 3162370 6324740 12649480