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920112 = 24329661
BaseRepresentation
bin11100000101000110000
31201202011020
43200220300
5213420422
631415440
710551354
oct3405060
91652136
10920112
11579326
12384580
13262a5b
1419d464
1513295c
hexe0a30

920112 has 40 divisors (see below), whose sum is σ = 2462640. Its totient is φ = 295680.

The previous prime is 920107. The next prime is 920123. The reversal of 920112 is 211029.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 920091 and 920100.

It is a congruent number.

It is an unprimeable number.

920112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1062 + ... + 1722.

It is an arithmetic number, because the mean of its divisors is an integer number (61566).

2920112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231320).

920112 is an abundant number, since it is smaller than the sum of its proper divisors (1542528).

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

920112 is a wasteful number, since it uses less digits than its factorization.

920112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 920112 is about 959.2246869217. The cubic root of 920112 is about 97.2628291990.

The spelling of 920112 in words is "nine hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 661 696 1322 1392 1983 2644 3966 5288 7932 10576 15864 19169 31728 38338 57507 76676 115014 153352 230028 306704 460056 920112