Search a number
-
+
10634022 = 2327372281
BaseRepresentation
bin101000100100…
…001100100110
3202000021010200
4220210030212
510210242042
61015531330
7156246660
oct50441446
922007120
1010634022
116003553
123689b46
132284329
1415ab530
15e00c4c
hexa24326

10634022 has 48 divisors (see below), whose sum is σ = 27055392. Its totient is φ = 2954880.

The previous prime is 10634011. The next prime is 10634087. The reversal of 10634022 is 22043601.

It is a happy number.

10634022 is a `hidden beast` number, since 10 + 634 + 0 + 22 = 666.

It is a super-2 number, since 2×106340222 = 226164847792968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10633986 and 10634004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3522 + ... + 5802.

It is an arithmetic number, because the mean of its divisors is an integer number (563654).

Almost surely, 210634022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10634022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13527696).

10634022 is an abundant number, since it is smaller than the sum of its proper divisors (16421370).

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

10634022 is a wasteful number, since it uses less digits than its factorization.

10634022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10634022 is about 3260.9848205718. The cubic root of 10634022 is about 219.9036906272.

Adding to 10634022 its reverse (22043601), we get a palindrome (32677623).

The spelling of 10634022 in words is "ten million, six hundred thirty-four thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2281 2331 4562 4662 6843 13686 15967 20529 31934 41058 47901 84397 95802 143703 168794 253191 287406 506382 590779 759573 1181558 1519146 1772337 3544674 5317011 10634022