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12998880 = 253451759
BaseRepresentation
bin110001100101…
…100011100000
3220110102010000
4301211203200
511311431010
61142340000
7215326416
oct61454340
926412100
1012998880
117379284
12442a600
13290185b
141a252b6
15121b7c0
hexc658e0

12998880 has 240 divisors, whose sum is σ = 49397040. Its totient is φ = 3207168.

The previous prime is 12998861. The next prime is 12998903. The reversal of 12998880 is 8889921.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220291 + ... + 220349.

It is an arithmetic number, because the mean of its divisors is an integer number (205821).

Almost surely, 212998880 is an apocalyptic number.

12998880 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 12998880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24698520).

12998880 is an abundant number, since it is smaller than the sum of its proper divisors (36398160).

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

12998880 is a wasteful number, since it uses less digits than its factorization.

12998880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 12998880 is about 3605.3959560636. The cubic root of 12998880 is about 235.1267160272.

The spelling of 12998880 in words is "twelve million, nine hundred ninety-eight thousand, eight hundred eighty".