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10731630 = 2357133931
BaseRepresentation
bin101000111100…
…000001101110
3202012020000210
4220330001232
510221403010
61022003250
7160134360
oct50740156
922166023
1010731630
11606a918
123716526
1322b98a0
1415d4d30
15e1eb20
hexa3c06e

10731630 has 64 divisors (see below), whose sum is σ = 31707648. Its totient is φ = 2263680.

The previous prime is 10731629. The next prime is 10731631. The reversal of 10731630 is 3613701.

It is an interprime number because it is at equal distance from previous prime (10731629) and next prime (10731631).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10731597 and 10731606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10731631) 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 31 ways as a sum of consecutive naturals, for example, 765 + ... + 4695.

It is an arithmetic number, because the mean of its divisors is an integer number (495432).

Almost surely, 210731630 is an apocalyptic number.

10731630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10731630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15853824).

10731630 is an abundant number, since it is smaller than the sum of its proper divisors (20976018).

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

10731630 is a wasteful number, since it uses less digits than its factorization.

10731630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961.

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 10731630 is about 3275.9166656067. The cubic root of 10731630 is about 220.5744628473.

The spelling of 10731630 in words is "ten million, seven hundred thirty-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 3931 7862 11793 19655 23586 27517 39310 51103 55034 58965 82551 102206 117930 137585 153309 165102 255515 275170 306618 357721 412755 511030 715442 766545 825510 1073163 1533090 1788605 2146326 3577210 5365815 10731630