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10396384 = 251729659
BaseRepresentation
bin100111101010…
…001011100000
3201120012011021
4213222023200
510130141014
61010455224
7154240105
oct47521340
921505137
1010396384
115960a59
123594514
13220010b
141548aac
15da5624
hex9ea2e0

10396384 has 48 divisors (see below), whose sum is σ = 22453200. Its totient is φ = 4716544.

The previous prime is 10396369. The next prime is 10396387. The reversal of 10396384 is 48369301.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10396387) 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 7 ways as a sum of consecutive naturals, for example, 15447 + ... + 16105.

It is an arithmetic number, because the mean of its divisors is an integer number (467775).

Almost surely, 210396384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10396384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11226600).

10396384 is an abundant number, since it is smaller than the sum of its proper divisors (12056816).

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

10396384 is a wasteful number, since it uses less digits than its factorization.

10396384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 10396384 is about 3224.3424135783. The cubic root of 10396384 is about 218.2532757523.

The spelling of 10396384 in words is "ten million, three hundred ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 659 928 986 1318 1972 2636 3944 5272 7888 10544 11203 15776 19111 21088 22406 38222 44812 76444 89624 152888 179248 305776 324887 358496 611552 649774 1299548 2599096 5198192 10396384