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119982240 = 25325711903
BaseRepresentation
bin1110010011011…
…00100010100000
322100202201200200
413021230202200
5221203412430
615523345200
72654555310
oct711544240
9270681620
10119982240
11617aa484
1234222200
131bb1bb11
1411d13440
15a800460
hex726c8a0

119982240 has 144 divisors (see below), whose sum is σ = 467970048. Its totient is φ = 27422208.

The previous prime is 119982197. The next prime is 119982241. The reversal of 119982240 is 42289911.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 119982195 and 119982204.

It is not an unprimeable number, because it can be changed into a prime (119982241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4129 + ... + 16031.

It is an arithmetic number, because the mean of its divisors is an integer number (3249792).

Almost surely, 2119982240 is an apocalyptic number.

119982240 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 119982240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).

119982240 is an abundant number, since it is smaller than the sum of its proper divisors (347987808).

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

119982240 is a wasteful number, since it uses less digits than its factorization.

119982240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11931 (or 11920 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 119982240 is about 10953.6404907227. The cubic root of 119982240 is about 493.2180803731.

The spelling of 119982240 in words is "one hundred nineteen million, nine hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 11903 23806 35709 47612 59515 71418 83321 95224 107127 119030 142836 166642 178545 190448 214254 238060 249963 285672 333284 357090 380896 416605 428508 476120 499926 535635 571344 666568 714180 749889 833210 857016 952240 999852 1071270 1142688 1249815 1333136 1428360 1499778 1666420 1714032 1904480 1999704 2142540 2499630 2666272 2856720 2999556 3332840 3428064 3749445 3999408 4285080 4999260 5713440 5999112 6665680 7498890 7998816 8570160 9998520 11998224 13331360 14997780 17140320 19997040 23996448 29995560 39994080 59991120 119982240