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120170120 = 23571632633
BaseRepresentation
bin1110010100110…
…10011010001000
322101010021102012
413022122122020
5221230420440
615531355052
72656300130
oct712323210
9271107365
10120170120
1161918654
12342b2a88
131bb864a5
1411d61ac0
15a83ae65
hex729a688

120170120 has 64 divisors (see below), whose sum is σ = 311022720. Its totient is φ = 40932864.

The previous prime is 120170111. The next prime is 120170129. The reversal of 120170120 is 21071021.

It is an interprime number because it is at equal distance from previous prime (120170111) and next prime (120170129).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 120170095 and 120170104.

It is not an unprimeable number, because it can be changed into a prime (120170129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44324 + ... + 46956.

It is an arithmetic number, because the mean of its divisors is an integer number (4859730).

Almost surely, 2120170120 is an apocalyptic number.

120170120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120170120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155511360).

120170120 is an abundant number, since it is smaller than the sum of its proper divisors (190852600).

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

120170120 is a wasteful number, since it uses less digits than its factorization.

120170120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2814 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 120170120 is about 10962.2132801729. The cubic root of 120170120 is about 493.4753892508.

Subtracting from 120170120 its reverse (21071021), we obtain a palindrome (99099099).

The spelling of 120170120 in words is "one hundred twenty million, one hundred seventy thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 163 280 326 652 815 1141 1304 1630 2282 2633 3260 4564 5266 5705 6520 9128 10532 11410 13165 18431 21064 22820 26330 36862 45640 52660 73724 92155 105320 147448 184310 368620 429179 737240 858358 1716716 2145895 3004253 3433432 4291790 6008506 8583580 12017012 15021265 17167160 24034024 30042530 60085060 120170120