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12476880 = 24325133143
BaseRepresentation
bin101111100110…
…000111010000
3212110220001200
4233212013100
511143230010
61123231200
7211023513
oct57460720
925426050
1012476880
117052079
124218500
13277b090
14192ad7a
151166cc0
hexbe61d0

12476880 has 240 divisors, whose sum is σ = 47663616. Its totient is φ = 2903040.

The previous prime is 12476869. The next prime is 12476887. The reversal of 12476880 is 8867421.

12476880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12476887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 290139 + ... + 290181.

Almost surely, 212476880 is an apocalyptic number.

12476880 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 12476880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23831808).

12476880 is an abundant number, since it is smaller than the sum of its proper divisors (35186736).

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

12476880 is a wasteful number, since it uses less digits than its factorization.

12476880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 12476880 is about 3532.2627308851. The cubic root of 12476880 is about 231.9362686616.

The spelling of 12476880 in words is "twelve million, four hundred seventy-six thousand, eight hundred eighty".