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106276740 = 22356726437
BaseRepresentation
bin1100101010110…
…10011110000100
321101222102021120
412111122132010
5204201323430
614313513540
72430223503
oct625323604
9241872246
10106276740
1154a99319
122b7128b0
131903075b
141018683a
1594e4610
hex655a784

106276740 has 48 divisors (see below), whose sum is σ = 302027712. Its totient is φ = 27916416.

The previous prime is 106276717. The next prime is 106276757. The reversal of 106276740 is 47672601.

It is a super-2 number, since 2×1062767402 = 22589490930055200, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9199 + ... + 17238.

It is an arithmetic number, because the mean of its divisors is an integer number (6292244).

Almost surely, 2106276740 is an apocalyptic number.

106276740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106276740 is an abundant number, since it is smaller than the sum of its proper divisors (195750972).

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

106276740 is a wasteful number, since it uses less digits than its factorization.

106276740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26516 (or 26514 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 106276740 is about 10309.0610629679. The cubic root of 106276740 is about 473.6738485193.

The spelling of 106276740 in words is "one hundred six million, two hundred seventy-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 26437 52874 79311 105748 132185 158622 264370 317244 396555 528740 793110 1586220 1771279 3542558 5313837 7085116 8856395 10627674 17712790 21255348 26569185 35425580 53138370 106276740