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120163890 = 23571124729
BaseRepresentation
bin1110010100110…
…00111000110010
322101002221212110
413022120320302
5221230221030
615531310150
72656243020
oct712307062
9271087773
10120163890
1161913a00
12342ab356
131bb836c2
1411d5d710
15a8391b0
hex7298e32

120163890 has 96 divisors (see below), whose sum is σ = 362355840. Its totient is φ = 24963840.

The previous prime is 120163873. The next prime is 120163919. The reversal of 120163890 is 98361021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23046 + ... + 27774.

It is an arithmetic number, because the mean of its divisors is an integer number (3774540).

Almost surely, 2120163890 is an apocalyptic number.

120163890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120163890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181177920).

120163890 is an abundant number, since it is smaller than the sum of its proper divisors (242191950).

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

120163890 is a wasteful number, since it uses less digits than its factorization.

120163890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 120163890 is about 10961.9291185448. The cubic root of 120163890 is about 493.4668613272.

The spelling of 120163890 in words is "one hundred twenty million, one hundred sixty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 121 154 165 210 231 242 330 363 385 462 605 726 770 847 1155 1210 1694 1815 2310 2541 3630 4235 4729 5082 8470 9458 12705 14187 23645 25410 28374 33103 47290 52019 66206 70935 99309 104038 141870 156057 165515 198618 260095 312114 331030 364133 496545 520190 572209 728266 780285 993090 1092399 1144418 1560570 1716627 1820665 2184798 2861045 3433254 3641330 4005463 5461995 5722090 8010926 8583135 10923990 12016389 17166270 20027315 24032778 40054630 60081945 120163890