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12988024 = 237593931
BaseRepresentation
bin110001100010…
…111001111000
3220102212012221
4301202321320
511311104044
61142213424
7215252650
oct61427170
926385187
1012988024
117371105
124424274
1328c992a
141a21360
151218484
hexc62e78

12988024 has 32 divisors (see below), whose sum is σ = 28310400. Its totient is φ = 5470560.

The previous prime is 12988007. The next prime is 12988033. The reversal of 12988024 is 42088921.

12988024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1339 + ... + 5269.

It is an arithmetic number, because the mean of its divisors is an integer number (884700).

Almost surely, 212988024 is an apocalyptic number.

12988024 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 12988024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14155200).

12988024 is an abundant number, since it is smaller than the sum of its proper divisors (15322376).

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

12988024 is a wasteful number, since it uses less digits than its factorization.

12988024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 12988024 is about 3603.8901204116. The cubic root of 12988024 is about 235.0612425264.

It can be divided in two parts, 12 and 988024, that added together give a square (988036 = 9942).

The spelling of 12988024 in words is "twelve million, nine hundred eighty-eight thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 413 472 826 1652 3304 3931 7862 15724 27517 31448 55034 110068 220136 231929 463858 927716 1623503 1855432 3247006 6494012 12988024