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10492680 = 2335117949
BaseRepresentation
bin101000000001…
…101100001000
3201202002020210
4220001230020
510141231210
61012521120
7155120622
oct50015410
921662223
1010492680
115a17340
1236201a0
132234bb3
141571c12
15dc3e20
hexa01b08

10492680 has 64 divisors (see below), whose sum is σ = 34344000. Its totient is φ = 2543360.

The previous prime is 10492661. The next prime is 10492687. The reversal of 10492680 is 8629401.

It is a super-2 number, since 2×104926802 = 220192667164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10492687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2655 + ... + 5294.

It is an arithmetic number, because the mean of its divisors is an integer number (536625).

Almost surely, 210492680 is an apocalyptic number.

10492680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10492680 is an abundant number, since it is smaller than the sum of its proper divisors (23851320).

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

10492680 is a wasteful number, since it uses less digits than its factorization.

10492680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7974 (or 7970 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10492680 is about 3239.2406517578. The cubic root of 10492680 is about 218.9250593235.

The spelling of 10492680 in words is "ten million, four hundred ninety-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 7949 15898 23847 31796 39745 47694 63592 79490 87439 95388 119235 158980 174878 190776 238470 262317 317960 349756 437195 476940 524634 699512 874390 953880 1049268 1311585 1748780 2098536 2623170 3497560 5246340 10492680