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10102392 = 2332193727
BaseRepresentation
bin100110100010…
…011001111000
3201000020212200
4212202121320
510041234032
61000310200
7151604016
oct46423170
921006780
1010102392
115780093
123472360
132129361
1414ad8b6
15d4847c
hex9a2678

10102392 has 48 divisors (see below), whose sum is σ = 27540240. Its totient is φ = 3345408.

The previous prime is 10102387. The next prime is 10102423. The reversal of 10102392 is 29320101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13533 + ... + 14259.

It is an arithmetic number, because the mean of its divisors is an integer number (573755).

Almost surely, 210102392 is an apocalyptic number.

10102392 is a gapful number since it is divisible by the number (12) 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 10102392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13770120).

10102392 is an abundant number, since it is smaller than the sum of its proper divisors (17437848).

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

10102392 is a wasteful number, since it uses less digits than its factorization.

10102392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10102392 is about 3178.4260255667. The cubic root of 10102392 is about 216.1762963992.

Adding to 10102392 its reverse (29320101), we get a palindrome (39422493).

The spelling of 10102392 in words is "ten million, one hundred two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 727 772 1158 1454 1544 1737 2181 2316 2908 3474 4362 4632 5816 6543 6948 8724 13086 13896 17448 26172 52344 140311 280622 420933 561244 841866 1122488 1262799 1683732 2525598 3367464 5051196 10102392