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56117100 = 223521314389
BaseRepresentation
bin1101011000010…
…0011101101100
310220121001012010
43112010131230
5103331221400
65322441220
71250662464
oct326043554
9126531163
1056117100
1129749676
1216963210
13b81a7b0
14764aba4
154dd7450
hex358476c

56117100 has 72 divisors (see below), whose sum is σ = 174867280. Its totient is φ = 13812480.

The previous prime is 56117077. The next prime is 56117101. The reversal of 56117100 is 171165.

56117100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 3295 + ... + 11094.

Almost surely, 256117100 is an apocalyptic number.

56117100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56117100 is an abundant number, since it is smaller than the sum of its proper divisors (118750180).

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

56117100 is a wasteful number, since it uses less digits than its factorization.

56117100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14419 (or 14412 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 56117100 is about 7491.1347605019. The cubic root of 56117100 is about 382.8527226097.

Adding to 56117100 its reverse (171165), we get a palindrome (56288265).

The spelling of 56117100 in words is "fifty-six million, one hundred seventeen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 14389 28778 43167 57556 71945 86334 143890 172668 187057 215835 287780 359725 374114 431670 561171 719450 748228 863340 935285 1079175 1122342 1438900 1870570 2158350 2244684 2805855 3741140 4316700 4676425 5611710 9352850 11223420 14029275 18705700 28058550 56117100