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106790292 = 22337141257
BaseRepresentation
bin1100101110101…
…11110110010100
321102221111202000
412113113312110
5204314242132
614332515300
72434462650
oct627276624
9242844660
10106790292
115530a144
122b91bb30
131918042b
141027ba60
15959687c
hex65d7d94

106790292 has 48 divisors (see below), whose sum is σ = 316417920. Its totient is φ = 30511296.

The previous prime is 106790269. The next prime is 106790303. The reversal of 106790292 is 292097601.

It is a super-2 number, since 2×1067902922 = 22808332930890528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69873 + ... + 71384.

It is an arithmetic number, because the mean of its divisors is an integer number (6592040).

Almost surely, 2106790292 is an apocalyptic number.

106790292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106790292 is an abundant number, since it is smaller than the sum of its proper divisors (209627628).

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

106790292 is a wasteful number, since it uses less digits than its factorization.

106790292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141277 (or 141269 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 106790292 is about 10333.9388424743. The cubic root of 106790292 is about 474.4355874121.

The spelling of 106790292 in words is "one hundred six million, seven hundred ninety thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 141257 282514 423771 565028 847542 988799 1271313 1695084 1977598 2542626 2966397 3813939 3955196 5085252 5932794 7627878 8899191 11865588 15255756 17798382 26697573 35596764 53395146 106790292