Search a number
-
+
10681752 = 2332337523
BaseRepresentation
bin101000101111…
…110110011000
3202002200121110
4220233312120
510213304002
61020540320
7156536064
oct50576630
922080543
1010681752
1160363a4
1236b16a0
13229cc83
1415c0aa4
15e0ee6c
hexa2fd98

10681752 has 64 divisors (see below), whose sum is σ = 28673280. Its totient is φ = 3307392.

The previous prime is 10681747. The next prime is 10681757. The reversal of 10681752 is 25718601.

It is an interprime number because it is at equal distance from previous prime (10681747) and next prime (10681757).

It is a super-2 number, since 2×106817522 = 228199651579008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10681757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20163 + ... + 20685.

It is an arithmetic number, because the mean of its divisors is an integer number (448020).

Almost surely, 210681752 is an apocalyptic number.

10681752 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 10681752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14336640).

10681752 is an abundant number, since it is smaller than the sum of its proper divisors (17991528).

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

10681752 is a wasteful number, since it uses less digits than its factorization.

10681752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 10681752 is about 3268.2949683283. The cubic root of 10681752 is about 220.2322066139.

The spelling of 10681752 in words is "ten million, six hundred eighty-one thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 111 138 148 184 222 276 296 444 523 552 851 888 1046 1569 1702 2092 2553 3138 3404 4184 5106 6276 6808 10212 12029 12552 19351 20424 24058 36087 38702 48116 58053 72174 77404 96232 116106 144348 154808 232212 288696 445073 464424 890146 1335219 1780292 2670438 3560584 5340876 10681752