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119084040 = 23335711553
BaseRepresentation
bin1110001100100…
…01010000001000
322022002002121000
413012101100020
5220441142130
615452215000
72644124535
oct706212010
9268062530
10119084040
1161246669
1233a6a460
131b89603a
1411b5bd8c
15a6c4260
hex7191408

119084040 has 128 divisors (see below), whose sum is σ = 402796800. Its totient is φ = 31288320.

The previous prime is 119084023. The next prime is 119084059. The reversal of 119084040 is 40480911.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 119083995 and 119084013.

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, 75904 + ... + 77456.

It is an arithmetic number, because the mean of its divisors is an integer number (3146850).

Almost surely, 2119084040 is an apocalyptic number.

119084040 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 119084040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201398400).

119084040 is an abundant number, since it is smaller than the sum of its proper divisors (283712760).

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

119084040 is a wasteful number, since it uses less digits than its factorization.

119084040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 119084040 is about 10912.5634018777. The cubic root of 119084040 is about 491.9842350689.

The spelling of 119084040 in words is "one hundred nineteen million, eighty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 71 72 90 108 120 135 142 180 213 216 270 284 355 360 426 540 568 639 710 852 1065 1080 1278 1420 1553 1704 1917 2130 2556 2840 3106 3195 3834 4260 4659 5112 6212 6390 7668 7765 8520 9318 9585 12424 12780 13977 15336 15530 18636 19170 23295 25560 27954 31060 37272 38340 41931 46590 55908 62120 69885 76680 83862 93180 110263 111816 139770 167724 186360 209655 220526 279540 330789 335448 419310 441052 551315 559080 661578 838620 882104 992367 1102630 1323156 1653945 1677240 1984734 2205260 2646312 2977101 3307890 3969468 4410520 4961835 5954202 6615780 7938936 9923670 11908404 13231560 14885505 19847340 23816808 29771010 39694680 59542020 119084040