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12394200 = 23352713227
BaseRepresentation
bin101111010001…
…111011011000
3212022200122110
4233101323120
511133103300
61121352320
7210230460
oct57217330
925280573
1012394200
116aa5a45
1241986a0
13274c560
141908ba0
15114c550
hexbd1ed8

12394200 has 192 divisors, whose sum is σ = 47496960. Its totient is φ = 2603520.

The previous prime is 12394199. The next prime is 12394201. The reversal of 12394200 is 249321.

It is an interprime number because it is at equal distance from previous prime (12394199) and next prime (12394201).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12394201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54487 + ... + 54713.

It is an arithmetic number, because the mean of its divisors is an integer number (247380).

Almost surely, 212394200 is an apocalyptic number.

12394200 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 12394200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23748480).

12394200 is an abundant number, since it is smaller than the sum of its proper divisors (35102760).

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

12394200 is a wasteful number, since it uses less digits than its factorization.

12394200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 12394200 is about 3520.5397313480. The cubic root of 12394200 is about 231.4228121457.

The spelling of 12394200 in words is "twelve million, three hundred ninety-four thousand, two hundred".