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106362340 = 22572108533
BaseRepresentation
bin1100101011011…
…11010111100100
321102010202200221
412111233113210
5204212043330
614315414124
72431031200
oct625572744
9242122627
10106362340
1155047667
122b754344
13190606c6
14101a9b00
15950eb7a
hex656f5e4

106362340 has 36 divisors (see below), whose sum is σ = 259830396. Its totient is φ = 36466752.

The previous prime is 106362329. The next prime is 106362341. The reversal of 106362340 is 43263601.

It can be written as a sum of positive squares in 2 ways, for example, as 14930496 + 91431844 = 3864^2 + 9562^2 .

It is a super-2 number, since 2×1063623402 = 22625894740551200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106362341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53287 + ... + 55246.

It is an arithmetic number, because the mean of its divisors is an integer number (7217511).

Almost surely, 2106362340 is an apocalyptic number.

106362340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106362340 is an abundant number, since it is smaller than the sum of its proper divisors (153468056).

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

106362340 is a wasteful number, since it uses less digits than its factorization.

106362340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108556 (or 108547 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 106362340 is about 10313.2119148207. The cubic root of 106362340 is about 473.8009870331.

The spelling of 106362340 in words is "one hundred six million, three hundred sixty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 108533 217066 434132 542665 759731 1085330 1519462 2170660 3038924 3798655 5318117 7597310 10636234 15194620 21272468 26590585 53181170 106362340