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10082352 = 243737811
BaseRepresentation
bin100110011101…
…100000110000
3200222020101110
4212131200300
510040113402
61000033320
7151461420
oct46354060
920866343
1010082352
115767025
123462840
1321201b7
1414a6480
15d4256c
hex99d830

10082352 has 80 divisors (see below), whose sum is σ = 30609152. Its totient is φ = 2799360.

The previous prime is 10082341. The next prime is 10082363. The reversal of 10082352 is 25328001.

It is an interprime number because it is at equal distance from previous prime (10082341) and next prime (10082363).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12027 + ... + 12837.

Almost surely, 210082352 is an apocalyptic number.

10082352 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 10082352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15304576).

10082352 is an abundant number, since it is smaller than the sum of its proper divisors (20526800).

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

10082352 is a wasteful number, since it uses less digits than its factorization.

10082352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10082352 is about 3175.2719568566. The cubic root of 10082352 is about 216.0332596247.

The spelling of 10082352 in words is "ten million, eighty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 811 888 1036 1554 1622 1776 2072 2433 3108 3244 4144 4866 5677 6216 6488 9732 11354 12432 12976 17031 19464 22708 30007 34062 38928 45416 60014 68124 90021 90832 120028 136248 180042 210049 240056 272496 360084 420098 480112 630147 720168 840196 1260294 1440336 1680392 2520588 3360784 5041176 10082352