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12296400 = 2435210247
BaseRepresentation
bin101110111010…
…000011010000
3212010201111020
4232322003100
511121441100
61115315440
7206342364
oct56720320
925121436
1012296400
116a39516
12414bb80
132716b9c
1418c12a4
15112d5a0
hexbba0d0

12296400 has 60 divisors (see below), whose sum is σ = 39393312. Its totient is φ = 3278720.

The previous prime is 12296381. The next prime is 12296407. The reversal of 12296400 is 469221.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12296407) 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 11 ways as a sum of consecutive naturals, for example, 3924 + ... + 6323.

Almost surely, 212296400 is an apocalyptic number.

12296400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12296400 is an abundant number, since it is smaller than the sum of its proper divisors (27096912).

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

12296400 is a wasteful number, since it uses less digits than its factorization.

12296400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10268 (or 10257 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12296400 is about 3506.6223064368. The cubic root of 12296400 is about 230.8125012877.

The spelling of 12296400 in words is "twelve million, two hundred ninety-six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 10247 20494 30741 40988 51235 61482 81976 102470 122964 153705 163952 204940 245928 256175 307410 409880 491856 512350 614820 768525 819760 1024700 1229640 1537050 2049400 2459280 3074100 4098800 6148200 12296400