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120442168 = 23711238501
BaseRepresentation
bin1110010110111…
…00110100111000
322101122002121001
413023130310320
5221313122133
615541254344
72661512230
oct713346470
9271562531
10120442168
1161a93a90
12344043b4
131bc50272
1411dd2cc0
15a89187d
hex72dcd38

120442168 has 64 divisors (see below), whose sum is σ = 293829120. Its totient is φ = 44880000.

The previous prime is 120442111. The next prime is 120442171. The reversal of 120442168 is 861244021.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9918 + ... + 18418.

It is an arithmetic number, because the mean of its divisors is an integer number (4591080).

Almost surely, 2120442168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120442168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146914560).

120442168 is an abundant number, since it is smaller than the sum of its proper divisors (173386952).

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

120442168 is a wasteful number, since it uses less digits than its factorization.

120442168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8548 (or 8544 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 120442168 is about 10974.6147084989. The cubic root of 120442168 is about 493.8474945436.

Adding to 120442168 its reverse (861244021), we get a palindrome (981686189).

The spelling of 120442168 in words is "one hundred twenty million, four hundred forty-two thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 253 308 322 506 616 644 1012 1288 1771 2024 3542 7084 8501 14168 17002 34004 59507 68008 93511 119014 187022 195523 238028 374044 391046 476056 654577 748088 782092 1309154 1368661 1564184 2150753 2618308 2737322 4301506 5236616 5474644 8603012 10949288 15055271 17206024 30110542 60221084 120442168