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10681410 = 235463769
BaseRepresentation
bin101000101111…
…110001000010
3202002200010210
4220233301002
510213301120
61020534550
7156535065
oct50576102
922080123
1010681410
116036113
1236b1456
13229ca7c
1415c08dc
15e0ece0
hexa2fc42

10681410 has 32 divisors (see below), whose sum is σ = 25724160. Its totient is φ = 2838528.

The previous prime is 10681403. The next prime is 10681417. The reversal of 10681410 is 1418601.

It is an interprime number because it is at equal distance from previous prime (10681403) and next prime (10681417).

It is a super-2 number, since 2×106814102 = 228185039176200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10681417) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13506 + ... + 14274.

It is an arithmetic number, because the mean of its divisors is an integer number (803880).

Almost surely, 210681410 is an apocalyptic number.

10681410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10681410 is an abundant number, since it is smaller than the sum of its proper divisors (15042750).

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

10681410 is a wasteful number, since it uses less digits than its factorization.

10681410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242.

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 10681410 is about 3268.2426470506. The cubic root of 10681410 is about 220.2298561812.

The spelling of 10681410 in words is "ten million, six hundred eighty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 463 769 926 1389 1538 2307 2315 2778 3845 4614 4630 6945 7690 11535 13890 23070 356047 712094 1068141 1780235 2136282 3560470 5340705 10681410