Search a number
-
+
10269630 = 2325716301
BaseRepresentation
bin100111001011…
…001110111110
3201022202021200
4213023032332
510112112010
61004040330
7153201420
oct47131676
921282250
1010269630
1158847a8
1235330a6
132187507
141514810
15d7ccc0
hex9cb3be

10269630 has 48 divisors (see below), whose sum is σ = 30517344. Its totient is φ = 2347200.

The previous prime is 10269629. The next prime is 10269631. The reversal of 10269630 is 3696201.

It is a happy number.

10269630 is a `hidden beast` number, since 1 + 0 + 26 + 9 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (10269629) and next prime (10269631).

It is a junction number, because it is equal to n+sod(n) for n = 10269594 and 10269603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10269631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7521 + ... + 8780.

It is an arithmetic number, because the mean of its divisors is an integer number (635778).

Almost surely, 210269630 is an apocalyptic number.

10269630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10269630 is an abundant number, since it is smaller than the sum of its proper divisors (20247714).

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

10269630 is a wasteful number, since it uses less digits than its factorization.

10269630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16321 (or 16318 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 10269630 is about 3204.6263432731. The cubic root of 10269630 is about 217.3626560567.

The spelling of 10269630 in words is "ten million, two hundred sixty-nine thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 16301 32602 48903 81505 97806 114107 146709 163010 228214 244515 293418 342321 489030 570535 684642 733545 1026963 1141070 1467090 1711605 2053926 3423210 5134815 10269630