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10904970 = 2355961101
BaseRepresentation
bin101001100110…
…010110001010
3202112000210210
4221212112022
510242424340
61025421550
7161455626
oct51462612
922460723
1010904970
11617907a
12379a8b6
13234a75b
14163c186
15e56180
hexa6658a

10904970 has 64 divisors (see below), whose sum is σ = 27319680. Its totient is φ = 2784000.

The previous prime is 10904951. The next prime is 10904977. The reversal of 10904970 is 7940901.

10904970 = T100 + T101 + ... + T404.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10904977) 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 31 ways as a sum of consecutive naturals, for example, 107920 + ... + 108020.

It is an arithmetic number, because the mean of its divisors is an integer number (426870).

Almost surely, 210904970 is an apocalyptic number.

10904970 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 10904970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659840).

10904970 is an abundant number, since it is smaller than the sum of its proper divisors (16414710).

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

10904970 is a wasteful number, since it uses less digits than its factorization.

10904970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231.

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 10904970 is about 3302.2674028613. The cubic root of 10904970 is about 221.7557170114.

The spelling of 10904970 in words is "ten million, nine hundred four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 59 61 101 118 122 177 183 202 295 303 305 354 366 505 590 606 610 885 915 1010 1515 1770 1830 3030 3599 5959 6161 7198 10797 11918 12322 17877 17995 18483 21594 29795 30805 35754 35990 36966 53985 59590 61610 89385 92415 107970 178770 184830 363499 726998 1090497 1817495 2180994 3634990 5452485 10904970