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106314140 = 2255315707
BaseRepresentation
bin1100101011000…
…11100110011100
321102001022120202
412111203212130
5204204023030
614314403032
72430440522
oct625434634
9242038522
10106314140
1155014429
122b730478
131904479a
1410196312
159500745
hex656399c

106314140 has 12 divisors (see below), whose sum is σ = 223259736. Its totient is φ = 42525648.

The previous prime is 106314137. The next prime is 106314157. The reversal of 106314140 is 41413601.

It is a super-2 number, since 2×1063141402 = 22605392727879200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 5315707 = 106314140 / (1 + 0 + 6 + 3 + 1 + 4 + 1 + 4 + 0).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2657834 + ... + 2657873.

It is an arithmetic number, because the mean of its divisors is an integer number (18604978).

Almost surely, 2106314140 is an apocalyptic number.

106314140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106314140 is an abundant number, since it is smaller than the sum of its proper divisors (116945596).

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

106314140 is a wasteful number, since it uses less digits than its factorization.

106314140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315716 (or 5315714 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 106314140 is about 10310.8748416417. The cubic root of 106314140 is about 473.7294057505.

Adding to 106314140 its reverse (41413601), we get a palindrome (147727741).

The spelling of 106314140 in words is "one hundred six million, three hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 5315707 10631414 21262828 26578535 53157070 106314140