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119319000 = 23353311283
BaseRepresentation
bin1110001110010…
…10100111011000
322022112000220020
413013022213120
5221021202000
615501230440
72646123543
oct707124730
9268460806
10119319000
1161397149
1233b62420
131b948c78
1411bbd85a
15a71dba0
hex71ca9d8

119319000 has 128 divisors (see below), whose sum is σ = 384583680. Its totient is φ = 30768000.

The previous prime is 119318987. The next prime is 119319029. The reversal of 119319000 is 913911.

It is a super-2 number, since 2×1193190002 = 28474047522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92359 + ... + 93641.

It is an arithmetic number, because the mean of its divisors is an integer number (3004560).

Almost surely, 2119319000 is an apocalyptic number.

119319000 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 119319000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192291840).

119319000 is an abundant number, since it is smaller than the sum of its proper divisors (265264680).

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

119319000 is a wasteful number, since it uses less digits than its factorization.

119319000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 24.

The square root of 119319000 is about 10923.3236700191. The cubic root of 119319000 is about 492.3075940254.

The spelling of 119319000 in words is "one hundred nineteen million, three hundred nineteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 125 150 155 186 200 248 250 300 310 372 375 465 500 600 620 744 750 775 930 1000 1240 1283 1500 1550 1860 2325 2566 3000 3100 3720 3849 3875 4650 5132 6200 6415 7698 7750 9300 10264 11625 12830 15396 15500 18600 19245 23250 25660 30792 31000 32075 38490 39773 46500 51320 64150 76980 79546 93000 96225 119319 128300 153960 159092 160375 192450 198865 238638 256600 318184 320750 384900 397730 477276 481125 596595 641500 769800 795460 954552 962250 994325 1193190 1283000 1590920 1924500 1988650 2386380 2982975 3849000 3977300 4772760 4971625 5965950 7954600 9943250 11931900 14914875 19886500 23863800 29829750 39773000 59659500 119319000