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920140013 = 133717910687
BaseRepresentation
bin110110110110000…
…011100011101101
32101010101221210202
4312312003203231
53341023440023
6231145443245
731542026642
oct6666034355
92333357722
10920140013
114324388a1
122181a0525
13118828760
148a2bddc9
1555ba9128
hex36d838ed

920140013 has 16 divisors (see below), whose sum is σ = 1023482880. Its totient is φ = 821710656.

The previous prime is 920140007. The next prime is 920140027. The reversal of 920140013 is 310041029.

It is not a de Polignac number, because 920140013 - 226 = 853031149 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 (920140033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80756 + ... + 91442.

It is an arithmetic number, because the mean of its divisors is an integer number (63967680).

Almost surely, 2920140013 is an apocalyptic number.

It is an amenable number.

920140013 is a deficient number, since it is larger than the sum of its proper divisors (103342867).

920140013 is a wasteful number, since it uses less digits than its factorization.

920140013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10916.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 920140013 is about 30333.8097343542. The cubic root of 920140013 is about 972.6381625130.

The spelling of 920140013 in words is "nine hundred twenty million, one hundred forty thousand, thirteen".

Divisors: 1 13 37 179 481 2327 6623 10687 86099 138931 395419 1912973 5140447 24868649 70780001 920140013