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12791400 = 2335221319
BaseRepresentation
bin110000110010…
…111001101000
3220001212111120
4300302321220
511233311100
61134055240
7213503466
oct60627150
926055446
1012791400
117247406
12434a520
13285b29b
1419ad836
1511ca0a0
hexc32e68

12791400 has 48 divisors (see below), whose sum is σ = 39655200. Its totient is φ = 3410880.

The previous prime is 12791399. The next prime is 12791413. The reversal of 12791400 is 419721.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10060 + ... + 11259.

It is an arithmetic number, because the mean of its divisors is an integer number (826150).

Almost surely, 212791400 is an apocalyptic number.

12791400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12791400 is an abundant number, since it is smaller than the sum of its proper divisors (26863800).

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

12791400 is a wasteful number, since it uses less digits than its factorization.

12791400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21338 (or 21329 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 12791400 is about 3576.5066755145. The cubic root of 12791400 is about 233.8690186686.

The spelling of 12791400 in words is "twelve million, seven hundred ninety-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 21319 42638 63957 85276 106595 127914 170552 213190 255828 319785 426380 511656 532975 639570 852760 1065950 1279140 1598925 2131900 2558280 3197850 4263800 6395700 12791400