Search a number
-
+
10164630 = 235797499
BaseRepresentation
bin100110110001…
…100110010110
3201010102020210
4212301212112
510100232010
61001510250
7152253330
oct46614626
921112223
1010164630
115812923
1234a2386
13214b798
1414c8450
15d5bb20
hex9b1996

10164630 has 64 divisors (see below), whose sum is σ = 28224000. Its totient is φ = 2294784.

The previous prime is 10164619. The next prime is 10164659. The reversal of 10164630 is 3646101.

10164630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10164597 and 10164606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20121 + ... + 20619.

It is an arithmetic number, because the mean of its divisors is an integer number (441000).

Almost surely, 210164630 is an apocalyptic number.

10164630 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 10164630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112000).

10164630 is an abundant number, since it is smaller than the sum of its proper divisors (18059370).

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

10164630 is a wasteful number, since it uses less digits than its factorization.

10164630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 10164630 is about 3188.2016874721. The cubic root of 10164630 is about 216.6193216736.

The spelling of 10164630 in words is "ten million, one hundred sixty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 97 105 194 210 291 485 499 582 679 970 998 1358 1455 1497 2037 2495 2910 2994 3395 3493 4074 4990 6790 6986 7485 10185 10479 14970 17465 20370 20958 34930 48403 52395 96806 104790 145209 242015 290418 338821 484030 677642 726045 1016463 1452090 1694105 2032926 3388210 5082315 10164630