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120101240 = 23572571669
BaseRepresentation
bin1110010100010…
…01100101111000
322100222202221002
413022021211320
5221221214430
615530104132
72655562250
oct712114570
9270882832
10120101240
1161880926
123427b048
131bb6102c
1411d44960
15a825845
hex7289978

120101240 has 64 divisors (see below), whose sum is σ = 310219200. Its totient is φ = 40992768.

The previous prime is 120101231. The next prime is 120101263. The reversal of 120101240 is 42101021.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 71126 + ... + 72794.

It is an arithmetic number, because the mean of its divisors is an integer number (4847175).

Almost surely, 2120101240 is an apocalyptic number.

120101240 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 120101240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155109600).

120101240 is an abundant number, since it is smaller than the sum of its proper divisors (190117960).

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

120101240 is a wasteful number, since it uses less digits than its factorization.

120101240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 120101240 is about 10959.0711285218. The cubic root of 120101240 is about 493.3810866038.

Adding to 120101240 its reverse (42101021), we get a palindrome (162202261).

The spelling of 120101240 in words is "one hundred twenty million, one hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 257 280 514 1028 1285 1669 1799 2056 2570 3338 3598 5140 6676 7196 8345 8995 10280 11683 13352 14392 16690 17990 23366 33380 35980 46732 58415 66760 71960 93464 116830 233660 428933 467320 857866 1715732 2144665 3002531 3431464 4289330 6005062 8578660 12010124 15012655 17157320 24020248 30025310 60050620 120101240