Search a number
-
+
120636016 = 24191013929
BaseRepresentation
bin1110011000011…
…00001001110000
322101222221111121
413030030021300
5221340323031
615545352024
72663250334
oct714141160
9271887447
10120636016
1162106696
1234498614
131bcba577
14120437c4
15a8ce011
hex730c270

120636016 has 40 divisors (see below), whose sum is σ = 248533200. Its totient is φ = 56563200.

The previous prime is 120636007. The next prime is 120636031. The reversal of 120636016 is 610636021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28740 + ... + 32668.

It is an arithmetic number, because the mean of its divisors is an integer number (6213330).

Almost surely, 2120636016 is an apocalyptic number.

120636016 is a gapful number since it is divisible by the number (16) 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 120636016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124266600).

120636016 is an abundant number, since it is smaller than the sum of its proper divisors (127897184).

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

120636016 is a wasteful number, since it uses less digits than its factorization.

120636016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 120636016 is about 10983.4428117963. The cubic root of 120636016 is about 494.1122966963.

The spelling of 120636016 in words is "one hundred twenty million, six hundred thirty-six thousand, sixteen".

Divisors: 1 2 4 8 16 19 38 76 101 152 202 304 404 808 1616 1919 3838 3929 7676 7858 15352 15716 30704 31432 62864 74651 149302 298604 396829 597208 793658 1194416 1587316 3174632 6349264 7539751 15079502 30159004 60318008 120636016