Search a number
-
+
10642260 = 2235832137
BaseRepresentation
bin101000100110…
…001101010100
3202000200102210
4220212031110
510211023020
61020033420
7156312666
oct50461524
922020383
1010642260
116009762
123692870
132287cc5
1415b0536
15e033e0
hexa26354

10642260 has 48 divisors (see below), whose sum is σ = 30171456. Its totient is φ = 2802432.

The previous prime is 10642259. The next prime is 10642267. The reversal of 10642260 is 6224601.

It is a happy number.

It is a super-2 number, since 2×106422602 = 226515395815200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3912 + ... + 6048.

It is an arithmetic number, because the mean of its divisors is an integer number (628572).

Almost surely, 210642260 is an apocalyptic number.

10642260 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 10642260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15085728).

10642260 is an abundant number, since it is smaller than the sum of its proper divisors (19529196).

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

10642260 is a wasteful number, since it uses less digits than its factorization.

10642260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 10642260 is about 3262.2476913932. The cubic root of 10642260 is about 219.9604612140.

Adding to 10642260 its reverse (6224601), we get a palindrome (16866861).

The spelling of 10642260 in words is "ten million, six hundred forty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2137 2490 4274 4980 6411 8548 10685 12822 21370 25644 32055 42740 64110 128220 177371 354742 532113 709484 886855 1064226 1773710 2128452 2660565 3547420 5321130 10642260