Search a number
-
+
10682370 = 2325196247
BaseRepresentation
bin101000110000…
…000000000010
3202002201110100
4220300000002
510213313440
61020543230
7156540636
oct50600002
922081410
1010682370
116036906
1236b1b16
1322a033a
1415c0dc6
15e10230
hexa30002

10682370 has 48 divisors (see below), whose sum is σ = 29240640. Its totient is φ = 2698272.

The previous prime is 10682339. The next prime is 10682387. The reversal of 10682370 is 7328601.

It is a super-2 number, since 2×106823702 = 228226057633800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1414 + ... + 4833.

It is an arithmetic number, because the mean of its divisors is an integer number (609180).

Almost surely, 210682370 is an apocalyptic number.

10682370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10682370 is an abundant number, since it is smaller than the sum of its proper divisors (18558270).

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

10682370 is a wasteful number, since it uses less digits than its factorization.

10682370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6279 (or 6276 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10682370 is about 3268.3895116708. The cubic root of 10682370 is about 220.2364537598.

The spelling of 10682370 in words is "ten million, six hundred eighty-two thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 6247 12494 18741 31235 37482 56223 62470 93705 112446 118693 187410 237386 281115 356079 562230 593465 712158 1068237 1186930 1780395 2136474 3560790 5341185 10682370