Search a number
-
+
10482680 = 23513191061
BaseRepresentation
bin100111111111…
…001111111000
3201201120112102
4213333033320
510140421210
61012402532
7155046515
oct47771770
921646472
1010482680
115a0a87a
123616448
132230490
14156c30c
15dc0ea5
hex9ff3f8

10482680 has 64 divisors (see below), whose sum is σ = 26762400. Its totient is φ = 3663360.

The previous prime is 10482677. The next prime is 10482701. The reversal of 10482680 is 8628401.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9350 + ... + 10410.

Almost surely, 210482680 is an apocalyptic number.

10482680 is a gapful number since it is divisible by the number (10) 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 10482680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13381200).

10482680 is an abundant number, since it is smaller than the sum of its proper divisors (16279720).

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

10482680 is a wasteful number, since it uses less digits than its factorization.

10482680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 10482680 is about 3237.6967121706. The cubic root of 10482680 is about 218.8554887134.

The spelling of 10482680 in words is "ten million, four hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1061 1235 1976 2122 2470 4244 4940 5305 8488 9880 10610 13793 20159 21220 27586 40318 42440 55172 68965 80636 100795 110344 137930 161272 201590 262067 275860 403180 524134 551720 806360 1048268 1310335 2096536 2620670 5241340 10482680