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35880013 = 1317179907
BaseRepresentation
bin1000100011011…
…1110001001101
32111111220010101
42020313301031
533141130023
63321011101
7613655311
oct210676115
974456111
1035880013
1119287204
1210023a91
1375834a0
144a9db41
15323b1ad
hex2237c4d

35880013 has 16 divisors (see below), whose sum is σ = 41186880. Its totient is φ = 30963456.

The previous prime is 35880007. The next prime is 35880029. The reversal of 35880013 is 31008853.

35880013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 35880013 - 213 = 35871821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35880073) 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, 39106 + ... + 40012.

It is an arithmetic number, because the mean of its divisors is an integer number (2574180).

Almost surely, 235880013 is an apocalyptic number.

It is an amenable number.

35880013 is a deficient number, since it is larger than the sum of its proper divisors (5306867).

35880013 is a wasteful number, since it uses less digits than its factorization.

35880013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 35880013 is about 5989.9927378921. The cubic root of 35880013 is about 329.8254755161.

Adding to 35880013 its reverse (31008853), we get a palindrome (66888866).

The spelling of 35880013 in words is "thirty-five million, eight hundred eighty thousand, thirteen".

Divisors: 1 13 17 179 221 907 2327 3043 11791 15419 39559 162353 200447 2110589 2760001 35880013