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10108384 = 251113472
BaseRepresentation
bin100110100011…
…110111100000
3201000120002121
4212203313200
510041432014
61000354024
7151630336
oct46436740
921016077
1010108384
115784640
123475914
13212bcc0
1414b1b56
15d4a124
hex9a3de0

10108384 has 72 divisors (see below), whose sum is σ = 23888088. Its totient is φ = 4151040.

The previous prime is 10108379. The next prime is 10108391. The reversal of 10108384 is 48380101.

10108384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215049 + ... + 215095.

It is an arithmetic number, because the mean of its divisors is an integer number (331779).

Almost surely, 210108384 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 10108384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11944044).

10108384 is an abundant number, since it is smaller than the sum of its proper divisors (13779704).

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

10108384 is a wasteful number, since it uses less digits than its factorization.

10108384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 10108384 is about 3179.3684907541. The cubic root of 10108384 is about 216.2190279409.

Adding to 10108384 its reverse (48380101), we get a palindrome (58488485).

The spelling of 10108384 in words is "ten million, one hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 47 52 88 94 104 143 176 188 208 286 352 376 416 517 572 611 752 1034 1144 1222 1504 2068 2209 2288 2444 4136 4418 4576 4888 6721 8272 8836 9776 13442 16544 17672 19552 24299 26884 28717 35344 48598 53768 57434 70688 97196 107536 114868 194392 215072 229736 315887 388784 459472 631774 777568 918944 1263548 2527096 5054192 10108384