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12421760 = 275131493
BaseRepresentation
bin101111011000…
…101010000000
3212101002110012
4233120222000
511134444020
61122124052
7210404021
oct57305200
925332405
1012421760
11701471a
1241b0628
13275bc70
141914c48
1511557c5
hexbd8a80

12421760 has 64 divisors (see below), whose sum is σ = 32001480. Its totient is φ = 4583424.

The previous prime is 12421757. The next prime is 12421789. The reversal of 12421760 is 6712421.

It can be written as a sum of positive squares in 4 ways, for example, as 10086976 + 2334784 = 3176^2 + 1528^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 7574 + ... + 9066.

Almost surely, 212421760 is an apocalyptic number.

12421760 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 12421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16000740).

12421760 is an abundant number, since it is smaller than the sum of its proper divisors (19579720).

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

12421760 is a wasteful number, since it uses less digits than its factorization.

12421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 12421760 is about 3524.4517304114. The cubic root of 12421760 is about 231.5942173489.

The spelling of 12421760 in words is "twelve million, four hundred twenty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1493 1664 2080 2986 4160 5972 7465 8320 11944 14930 19409 23888 29860 38818 47776 59720 77636 95552 97045 119440 155272 191104 194090 238880 310544 388180 477760 621088 776360 955520 1242176 1552720 2484352 3105440 6210880 12421760