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12764620 = 22511173413
BaseRepresentation
bin110000101100…
…010111001100
3220000111202201
4300230113030
511231431440
61133331244
7213332431
oct60542714
926014681
1012764620
117229280
124336b24
13284c03b
1419a3b88
1511c219a
hexc2c5cc

12764620 has 48 divisors (see below), whose sum is σ = 30971808. Its totient is φ = 4367360.

The previous prime is 12764597. The next prime is 12764623. The reversal of 12764620 is 2646721.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12764623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2034 + ... + 5446.

It is an arithmetic number, because the mean of its divisors is an integer number (645246).

Almost surely, 212764620 is an apocalyptic number.

12764620 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 12764620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15485904).

12764620 is an abundant number, since it is smaller than the sum of its proper divisors (18207188).

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

12764620 is a wasteful number, since it uses less digits than its factorization.

12764620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 12764620 is about 3572.7608372238. The cubic root of 12764620 is about 233.7056957030.

The spelling of 12764620 in words is "twelve million, seven hundred sixty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3413 3740 6826 13652 17065 34130 37543 58021 68260 75086 116042 150172 187715 232084 290105 375430 580210 638231 750860 1160420 1276462 2552924 3191155 6382310 12764620