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120082095 = 355722017
BaseRepresentation
bin1110010100001…
…00111010101111
322100221210200000
413022010322233
5221220111340
615525435343
72655452400
oct712047257
9270853600
10120082095
1161868501
123426bb53
131bb553c3
1411d3b9a7
15a81ed30
hex7284eaf

120082095 has 72 divisors (see below), whose sum is σ = 251216784. Its totient is φ = 54867456.

The previous prime is 120082073. The next prime is 120082111. The reversal of 120082095 is 590280021.

It is not a de Polignac number, because 120082095 - 25 = 120082063 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58527 + ... + 60543.

It is an arithmetic number, because the mean of its divisors is an integer number (3489122).

Almost surely, 2120082095 is an apocalyptic number.

120082095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

120082095 is an abundant number, since it is smaller than the sum of its proper divisors (131134689).

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

120082095 is an equidigital number, since it uses as much as digits as its factorization.

120082095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 120082095 is about 10958.1976163966. The cubic root of 120082095 is about 493.3548690481.

The spelling of 120082095 in words is "one hundred twenty million, eighty-two thousand, ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 243 245 315 405 441 567 735 945 1215 1323 1701 2017 2205 2835 3969 6051 6615 8505 10085 11907 14119 18153 19845 30255 42357 54459 59535 70595 90765 98833 127071 163377 211785 272295 296499 381213 490131 494165 635355 816885 889497 1143639 1482495 1906065 2450655 2668491 3430917 4447485 5718195 8005473 13342455 17154585 24016419 40027365 120082095