Search a number
-
+
10172260 = 2257113643
BaseRepresentation
bin100110110011…
…011101100100
3201010210201101
4212303131210
510101003020
61002005444
7152314510
oct46633544
921123641
1010172260
11581862a
1234a6884
1321520b7
1414cb140
15d5e00a
hex9b3764

10172260 has 48 divisors (see below), whose sum is σ = 24667776. Its totient is φ = 3451392.

The previous prime is 10172221. The next prime is 10172321. The reversal of 10172260 is 6227101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15499 + ... + 16141.

It is an arithmetic number, because the mean of its divisors is an integer number (513912).

Almost surely, 210172260 is an apocalyptic number.

10172260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10172260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12333888).

10172260 is an abundant number, since it is smaller than the sum of its proper divisors (14495516).

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

10172260 is a wasteful number, since it uses less digits than its factorization.

10172260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10172260 is about 3189.3980623309. The cubic root of 10172260 is about 216.6735093171.

Adding to 10172260 its reverse (6227101), we get a palindrome (16399361).

It can be divided in two parts, 101 and 72260, that added together give a square (72361 = 2692).

The spelling of 10172260 in words is "ten million, one hundred seventy-two thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 113 140 226 452 565 643 791 1130 1286 1582 2260 2572 3164 3215 3955 4501 6430 7910 9002 12860 15820 18004 22505 45010 72659 90020 145318 290636 363295 508613 726590 1017226 1453180 2034452 2543065 5086130 10172260