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10397400 = 23352133143
BaseRepresentation
bin100111101010…
…011011011000
3201120020112220
4213222123120
510130204100
61010504040
7154243056
oct47523330
921506486
1010397400
1159617a2
123595020
132200710
1415491d6
15da5aa0
hex9ea6d8

10397400 has 192 divisors, whose sum is σ = 36664320. Its totient is φ = 2419200.

The previous prime is 10397383. The next prime is 10397411. The reversal of 10397400 is 479301.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241779 + ... + 241821.

It is an arithmetic number, because the mean of its divisors is an integer number (190960).

Almost surely, 210397400 is an apocalyptic number.

10397400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 3224×3225.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10397400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18332160).

10397400 is an abundant number, since it is smaller than the sum of its proper divisors (26266920).

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

10397400 is a wasteful number, since it uses less digits than its factorization.

10397400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 10397400 is about 3224.4999612343. The cubic root of 10397400 is about 218.2603852148.

The spelling of 10397400 in words is "ten million, three hundred ninety-seven thousand, four hundred".