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10093902 = 23721319139
BaseRepresentation
bin100110100000…
…010101001110
3200222211020020
4212200111032
510041001102
61000203010
7151540200
oct46402516
920884206
1010093902
115774775
123469466
132125530
1414aa770
15d45bbc
hex9a054e

10093902 has 96 divisors (see below), whose sum is σ = 26812800. Its totient is φ = 2503872.

The previous prime is 10093901. The next prime is 10093939. The reversal of 10093902 is 20939001.

It is a happy number.

10093902 is nontrivially palindromic in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10093901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72549 + ... + 72687.

It is an arithmetic number, because the mean of its divisors is an integer number (279300).

Almost surely, 210093902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10093902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13406400).

10093902 is an abundant number, since it is smaller than the sum of its proper divisors (16718898).

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

10093902 is a wasteful number, since it uses less digits than its factorization.

10093902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 10093902 is about 3177.0901781347. The cubic root of 10093902 is about 216.1157215990.

The spelling of 10093902 in words is "ten million, ninety-three thousand, nine hundred two".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 49 57 78 91 98 114 133 139 147 182 247 266 273 278 294 399 417 494 546 637 741 798 834 931 973 1274 1482 1729 1807 1862 1911 1946 2641 2793 2919 3458 3614 3822 5187 5282 5421 5586 5838 6811 7923 10374 10842 12103 12649 13622 15846 18487 20433 24206 25298 34333 36309 36974 37947 40866 55461 68666 72618 75894 88543 102999 110922 129409 177086 205998 240331 258818 265629 388227 480662 531258 720993 776454 1441986 1682317 3364634 5046951 10093902