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12320800 = 255215401
BaseRepresentation
bin101111000000…
…000000100000
3212011221221221
4233000000200
511123231200
61120024424
7206503462
oct57000040
925157857
1012320800
116a55888
124162114
13272501b
1418ca132
15113591a
hexbc0020

12320800 has 36 divisors (see below), whose sum is σ = 30080106. Its totient is φ = 4928000.

The previous prime is 12320783. The next prime is 12320827. The reversal of 12320800 is 802321.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11916304 + 404496 = 3452^2 + 636^2 .

It is a super-2 number, since 2×123208002 = 303604225280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6901 + ... + 8500.

Almost surely, 212320800 is an apocalyptic number.

12320800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12320800 is an abundant number, since it is smaller than the sum of its proper divisors (17759306).

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

12320800 is a wasteful number, since it uses less digits than its factorization.

12320800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15421 (or 15408 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 12320800 is about 3510.0997136834. The cubic root of 12320800 is about 230.9650690858.

The spelling of 12320800 in words is "twelve million, three hundred twenty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 15401 30802 61604 77005 123208 154010 246416 308020 385025 492832 616040 770050 1232080 1540100 2464160 3080200 6160400 12320800