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10095384 = 23313219131
BaseRepresentation
bin100110100000…
…101100011000
3200222220021010
4212200230120
510041023014
61000213520
7151544415
oct46405430
920886233
1010095384
1157758a2
12346a2a0
132126100
1414ab10c
15d46359
hex9a0b18

10095384 has 96 divisors (see below), whose sum is σ = 28987200. Its totient is φ = 2920320.

The previous prime is 10095383. The next prime is 10095401. The reversal of 10095384 is 48359001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10095383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76999 + ... + 77129.

It is an arithmetic number, because the mean of its divisors is an integer number (301950).

Almost surely, 210095384 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 10095384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14493600).

10095384 is an abundant number, since it is smaller than the sum of its proper divisors (18891816).

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

10095384 is a wasteful number, since it uses less digits than its factorization.

10095384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 10095384 is about 3177.3234018589. The cubic root of 10095384 is about 216.1262978798.

The spelling of 10095384 in words is "ten million, ninety-five thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 131 152 156 169 228 247 262 312 338 393 456 494 507 524 676 741 786 988 1014 1048 1352 1482 1572 1703 1976 2028 2489 2964 3144 3211 3406 4056 4978 5109 5928 6422 6812 7467 9633 9956 10218 12844 13624 14934 19266 19912 20436 22139 25688 29868 32357 38532 40872 44278 59736 64714 66417 77064 88556 97071 129428 132834 177112 194142 258856 265668 388284 420641 531336 776568 841282 1261923 1682564 2523846 3365128 5047692 10095384