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12612264 = 2337372029
BaseRepresentation
bin110000000111…
…001010101000
3212201202202220
4300013022220
511212043024
61130154040
7212126310
oct60071250
925652686
1012612264
117134865
124282920
1327c78a2
141964440
151191e79
hexc072a8

12612264 has 64 divisors (see below), whose sum is σ = 37027200. Its totient is φ = 3504384.

The previous prime is 12612241. The next prime is 12612277. The reversal of 12612264 is 46221621.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 5202 + ... + 7230.

It is an arithmetic number, because the mean of its divisors is an integer number (578550).

Almost surely, 212612264 is an apocalyptic number.

12612264 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 12612264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18513600).

12612264 is an abundant number, since it is smaller than the sum of its proper divisors (24414936).

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

12612264 is a wasteful number, since it uses less digits than its factorization.

12612264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2078 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 12612264 is about 3551.3749450037. The cubic root of 12612264 is about 232.7721498078.

Adding to 12612264 its reverse (46221621), we get a palindrome (58833885).

The spelling of 12612264 in words is "twelve million, six hundred twelve thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2029 2072 3108 4058 6087 6216 8116 12174 14203 16232 24348 28406 42609 48696 56812 75073 85218 113624 150146 170436 225219 300292 340872 450438 525511 600584 900876 1051022 1576533 1801752 2102044 3153066 4204088 6306132 12612264