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10399680 = 2632523157
BaseRepresentation
bin100111101010…
…111111000000
3201120100200100
4213222333000
510130242210
61010522400
7154252524
oct47527700
921510610
1010399680
115963485
123596400
132201775
141549d84
15da65c0
hex9eafc0

10399680 has 168 divisors, whose sum is σ = 37563552. Its totient is φ = 2635776.

The previous prime is 10399637. The next prime is 10399687. The reversal of 10399680 is 8699301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10399687) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 66162 + ... + 66318.

Almost surely, 210399680 is an apocalyptic number.

10399680 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 10399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18781776).

10399680 is an abundant number, since it is smaller than the sum of its proper divisors (27163872).

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

10399680 is a wasteful number, since it uses less digits than its factorization.

10399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 10399680 is about 3224.8534850439. The cubic root of 10399680 is about 218.2763378346.

The spelling of 10399680 in words is "ten million, three hundred ninety-nine thousand, six hundred eighty".