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35680107 = 3233671409
BaseRepresentation
bin1000100000011…
…0111101101011
32111010201220110
42020012331223
533113230412
63312425403
7612163431
oct210067553
974121813
1035680107
111915aaa1
12bb48263
1375134b8
144a4ad51
1531ebd3c
hex2206f6b

35680107 has 16 divisors (see below), whose sum is σ = 49812480. Its totient is φ = 22674432.

The previous prime is 35680091. The next prime is 35680111. The reversal of 35680107 is 70108653.

35680107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 35680107 - 24 = 35680091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (35680147) by changing a digit.

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, 24619 + ... + 26027.

It is an arithmetic number, because the mean of its divisors is an integer number (3113280).

Almost surely, 235680107 is an apocalyptic number.

35680107 is a deficient number, since it is larger than the sum of its proper divisors (14132373).

35680107 is a wasteful number, since it uses less digits than its factorization.

35680107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 35680107 is about 5973.2827657830. The cubic root of 35680107 is about 329.2117919513.

The spelling of 35680107 in words is "thirty-five million, six hundred eighty thousand, one hundred seven".

Divisors: 1 3 23 69 367 1101 1409 4227 8441 25323 32407 97221 517103 1551309 11893369 35680107