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1931112 = 233226821
BaseRepresentation
bin111010111011101101000
310122002222200
413113131220
5443243422
6105220200
722262031
oct7273550
93562880
101931112
1110a9967
12791660
13527c91
14383a88
152822ac
hex1d7768

1931112 has 24 divisors (see below), whose sum is σ = 5230290. Its totient is φ = 643680.

The previous prime is 1931101. The next prime is 1931113. The reversal of 1931112 is 2111391.

It can be written as a sum of positive squares in only one way, i.e., 1313316 + 617796 = 1146^2 + 786^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1931113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13339 + ... + 13482.

21931112 is an apocalyptic number.

1931112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1931112 is an abundant number, since it is smaller than the sum of its proper divisors (3299178).

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

1931112 is a wasteful number, since it uses less digits than its factorization.

1931112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26833 (or 26826 counting only the distinct ones).

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

The square root of 1931112 is about 1389.6445588711. The cubic root of 1931112 is about 124.5286139293.

The spelling of 1931112 in words is "one million, nine hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 26821 53642 80463 107284 160926 214568 241389 321852 482778 643704 965556 1931112