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118444680 = 23345139263
BaseRepresentation
bin1110000111101…
…01001010001000
322020212121120000
413003311022020
5220310212210
615430403000
72635522524
oct703651210
9266777500
10118444680
116094a272
1233800460
131b701013
1411a32d84
15a5e9ac0
hex70f5288

118444680 has 160 divisors (see below), whose sum is σ = 402494400. Its totient is φ = 31238784.

The previous prime is 118444657. The next prime is 118444681. The reversal of 118444680 is 86444811.

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

It is not an unprimeable number, because it can be changed into a prime (118444681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 450229 + ... + 450491.

It is an arithmetic number, because the mean of its divisors is an integer number (2515590).

Almost surely, 2118444680 is an apocalyptic number.

118444680 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 118444680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201247200).

118444680 is an abundant number, since it is smaller than the sum of its proper divisors (284049720).

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

118444680 is a wasteful number, since it uses less digits than its factorization.

118444680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 118444680 is about 10883.2293001664. The cubic root of 118444680 is about 491.1021698416.

The spelling of 118444680 in words is "one hundred eighteen million, four hundred forty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 139 162 180 216 263 270 278 324 360 405 417 526 540 556 648 695 789 810 834 1052 1080 1112 1251 1315 1390 1578 1620 1668 2085 2104 2367 2502 2630 2780 3156 3240 3336 3753 3945 4170 4734 5004 5260 5560 6255 6312 7101 7506 7890 8340 9468 10008 10520 11259 11835 12510 14202 15012 15780 16680 18765 18936 21303 22518 23670 25020 28404 30024 31560 35505 36557 37530 42606 45036 47340 50040 56295 56808 71010 73114 75060 85212 90072 94680 106515 109671 112590 142020 146228 150120 170424 182785 213030 219342 225180 284040 292456 329013 365570 426060 438684 450360 548355 658026 731140 852120 877368 987039 1096710 1316052 1462280 1645065 1974078 2193420 2632104 2961117 3290130 3948156 4386840 4935195 5922234 6580260 7896312 9870390 11844468 13160520 14805585 19740780 23688936 29611170 39481560 59222340 118444680