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12295680 = 29351601
BaseRepresentation
bin101110111001…
…111000000000
3212010200111120
4232321320000
511121430210
61115312240
7206340315
oct56717000
925120446
1012295680
116a38a21
12414b680
132716767
1418c0d0c
15112d270
hexbb9e00

12295680 has 80 divisors (see below), whose sum is σ = 39332304. Its totient is φ = 3276800.

The previous prime is 12295669. The next prime is 12295687. The reversal of 12295680 is 8659221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12295687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6880 + ... + 8480.

Almost surely, 212295680 is an apocalyptic number.

12295680 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 12295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19666152).

12295680 is an abundant number, since it is smaller than the sum of its proper divisors (27036624).

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

12295680 is an equidigital number, since it uses as much as digits as its factorization.

12295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 12295680 is about 3506.5196420382. The cubic root of 12295680 is about 230.8079962227.

The spelling of 12295680 in words is "twelve million, two hundred ninety-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1601 1920 2560 3202 3840 4803 6404 7680 8005 9606 12808 16010 19212 24015 25616 32020 38424 48030 51232 64040 76848 96060 102464 128080 153696 192120 204928 256160 307392 384240 409856 512320 614784 768480 819712 1024640 1229568 1536960 2049280 2459136 3073920 4098560 6147840 12295680