Search a number
910116 = 2234532
BaseRepresentation
bin11011110001100100100
31201020110000
43132030210
5213110431
631301300
710510254
oct3361444
91636400
10910116
11571869
1237a830
1325b33c
14199964
1512e9e6
hexde324

910116 has 45 divisors (see below), whose sum is σ = 2424961. Its totient is φ = 297648.

The previous prime is 910109. The next prime is 910121. The reversal of 910116 is 611019.

The square root of 910116 is 954.

It is a perfect power (a square), and thus also a powerful number.

910116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 656100 + 254016 = 810^2 + 504^2 .

It is a super-2 number, since 2×9101162 = 1656622266912, which contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

910116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17146 + ... + 17198.

910116 is a Friedman number, since it can be written as (106*9)^(1+1), using all its digits and the basic arithmetic operations.

2910116 is an apocalyptic number.

910116 is the 954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 910116

910116 is an abundant number, since it is smaller than the sum of its proper divisors (1514845).

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

910116 is a wasteful number, since it uses less digits than its factorization.

910116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The cubic root of 910116 is about 96.9093282434.

The spelling of 910116 in words is "nine hundred ten thousand, one hundred sixteen".