Search a number
-
+
10904220 = 2234553127
BaseRepresentation
bin101001100110…
…001010011100
3202111222210000
4221212022130
510242413340
61025414300
7161453505
oct51461234
922458700
1010904220
116178558
12379a390
13234a302
14163bbac
15e55d30
hexa6629c

10904220 has 120 divisors (see below), whose sum is σ = 35126784. Its totient is φ = 2830464.

The previous prime is 10904213. The next prime is 10904221. The reversal of 10904220 is 2240901.

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 = 10904193 and 10904202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10904221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85797 + ... + 85923.

Almost surely, 210904220 is an apocalyptic number.

10904220 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 10904220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17563392).

10904220 is an abundant number, since it is smaller than the sum of its proper divisors (24222564).

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

10904220 is a wasteful number, since it uses less digits than its factorization.

10904220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10904220 is about 3302.1538425700. The cubic root of 10904220 is about 221.7506330726.

The spelling of 10904220 in words is "ten million, nine hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 81 90 106 108 127 135 159 162 180 212 254 265 270 318 324 381 405 477 508 530 540 635 636 762 795 810 954 1060 1143 1270 1431 1524 1590 1620 1905 1908 2286 2385 2540 2862 3180 3429 3810 4293 4572 4770 5715 5724 6731 6858 7155 7620 8586 9540 10287 11430 13462 13716 14310 17145 17172 20193 20574 21465 22860 26924 28620 33655 34290 40386 41148 42930 51435 60579 67310 68580 80772 85860 100965 102870 121158 134620 181737 201930 205740 242316 302895 363474 403860 545211 605790 726948 908685 1090422 1211580 1817370 2180844 2726055 3634740 5452110 10904220