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56117106 = 2323498933
BaseRepresentation
bin1101011000010…
…0011101110010
310220121001012100
43112010131302
5103331221411
65322441230
71250662503
oct326043562
9126531170
1056117106
1129749681
1216963216
13b81a7b6
14764abaa
154dd7456
hex3584772

56117106 has 24 divisors (see below), whose sum is σ = 121949100. Its totient is φ = 18650016.

The previous prime is 56117101. The next prime is 56117111. The reversal of 56117106 is 60171165.

56117106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56117101) and next prime (56117111).

It can be written as a sum of positive squares in 2 ways, for example, as 56115081 + 2025 = 7491^2 + 45^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56117106.

It is not an unprimeable number, because it can be changed into a prime (56117101) 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 11 ways as a sum of consecutive naturals, for example, 1816 + ... + 10748.

Almost surely, 256117106 is an apocalyptic number.

56117106 is an abundant number, since it is smaller than the sum of its proper divisors (65831994).

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

56117106 is a wasteful number, since it uses less digits than its factorization.

56117106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9290 (or 9287 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 56117106 is about 7491.1351609753. The cubic root of 56117106 is about 382.8527362544.

The spelling of 56117106 in words is "fifty-six million, one hundred seventeen thousand, one hundred six".

Divisors: 1 2 3 6 9 18 349 698 1047 2094 3141 6282 8933 17866 26799 53598 80397 160794 3117617 6235234 9352851 18705702 28058553 56117106