Search a number
-
+
119879080 = 23541671091
BaseRepresentation
bin1110010010100…
…11010110101000
322100120111011221
413021103112220
5221142112310
615521231424
72653645456
oct711232650
9270514157
10119879080
1161739a22
1234192574
131bab3b89
1411cc79d6
15a7ceada
hex72535a8

119879080 has 64 divisors (see below), whose sum is σ = 280687680. Its totient is φ = 46041600.

The previous prime is 119879041. The next prime is 119879107. The reversal of 119879080 is 80978911.

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, 109335 + ... + 110425.

It is an arithmetic number, because the mean of its divisors is an integer number (4385745).

Almost surely, 2119879080 is an apocalyptic number.

119879080 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 119879080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140343840).

119879080 is an abundant number, since it is smaller than the sum of its proper divisors (160808600).

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

119879080 is a wasteful number, since it uses less digits than its factorization.

119879080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 43.

The square root of 119879080 is about 10948.9305413817. The cubic root of 119879080 is about 493.0766845400.

Subtracting from 119879080 its reverse (80978911), we obtain a square (38900169 = 62372).

The spelling of 119879080 in words is "one hundred nineteen million, eight hundred seventy-nine thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 41 67 82 134 164 205 268 328 335 410 536 670 820 1091 1340 1640 2182 2680 2747 4364 5455 5494 8728 10910 10988 13735 21820 21976 27470 43640 44731 54940 73097 89462 109880 146194 178924 223655 292388 357848 365485 447310 584776 730970 894620 1461940 1789240 2923880 2996977 5993954 11987908 14984885 23975816 29969770 59939540 119879080