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12988816 = 24172532
BaseRepresentation
bin110001100011…
…000110010000
3220102220022021
4301203012100
511311120231
61142221224
7215255161
oct61430620
926386267
1012988816
117371765
124424814
1328ca0b9
141a21768
151218811
hexc63190

12988816 has 45 divisors (see below), whose sum is σ = 27247171. Its totient is φ = 5997056.

The previous prime is 12988793. The next prime is 12988819. The reversal of 12988816 is 61888921.

The square root of 12988816 is 3604.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3254416 + 9734400 = 1804^2 + 3120^2 .

It is a Duffinian number.

Its product of digits (55296) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (12988819) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 245046 + ... + 245098.

Almost surely, 212988816 is an apocalyptic number.

12988816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12988816 is the 3604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12988816

12988816 is an abundant number, since it is smaller than the sum of its proper divisors (14258355).

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

12988816 is an equidigital number, since it uses as much as digits as its factorization.

12988816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 72 counting only the distinct ones).

The product of its digits is 55296, while the sum is 43.

The cubic root of 12988816 is about 235.0660203823.

The spelling of 12988816 in words is "twelve million, nine hundred eighty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 289 424 578 848 901 1156 1802 2312 2809 3604 4624 5618 7208 11236 14416 15317 22472 30634 44944 47753 61268 95506 122536 191012 245072 382024 764048 811801 1623602 3247204 6494408 12988816