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106831940 = 22529473919
BaseRepresentation
bin1100101111000…
…10000001000100
321110000121212112
412113202001010
5204322110230
614333440152
72435025245
oct627420104
9243017775
10106831940
1155338466
122b940058
1319196387
141028cccc
1595a3d95
hex65e2044

106831940 has 48 divisors (see below), whose sum is σ = 237081600. Its totient is φ = 40371072.

The previous prime is 106831939. The next prime is 106831943. The reversal of 106831940 is 49138601.

It is a happy number.

It is a super-2 number, since 2×1068319402 = 22826126808327200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106831897 and 106831906.

It is not an unprimeable number, because it can be changed into a prime (106831943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25301 + ... + 29219.

It is an arithmetic number, because the mean of its divisors is an integer number (4939200).

Almost surely, 2106831940 is an apocalyptic number.

106831940 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 106831940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118540800).

106831940 is an abundant number, since it is smaller than the sum of its proper divisors (130249660).

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

106831940 is a wasteful number, since it uses less digits than its factorization.

106831940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004 (or 4002 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 106831940 is about 10335.9537537665. The cubic root of 106831940 is about 474.4972557056.

The spelling of 106831940 in words is "one hundred six million, eight hundred thirty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 29 47 58 94 116 145 188 235 290 470 580 940 1363 2726 3919 5452 6815 7838 13630 15676 19595 27260 39190 78380 113651 184193 227302 368386 454604 568255 736772 920965 1136510 1841930 2273020 3683860 5341597 10683194 21366388 26707985 53415970 106831940