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118140880 = 245111323449
BaseRepresentation
bin1110000101010…
…10111111010000
322020022011211011
413002222333100
5220221002010
615420100304
72633116024
oct702527720
9266264734
10118140880
1160761aa0
1233694694
131b625960
1411994384
15a589a8a
hex70aafd0

118140880 has 160 divisors (see below), whose sum is σ = 337478400. Its totient is φ = 37847040.

The previous prime is 118140863. The next prime is 118140881. The reversal of 118140880 is 88041811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118140881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262896 + ... + 263344.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 2118140880 is an apocalyptic number.

118140880 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 118140880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

118140880 is an abundant number, since it is smaller than the sum of its proper divisors (219337520).

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

118140880 is a wasteful number, since it uses less digits than its factorization.

118140880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 31.

The square root of 118140880 is about 10869.2630844966. The cubic root of 118140880 is about 490.6819326470.

The spelling of 118140880 in words is "one hundred eighteen million, one hundred forty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 23 26 40 44 46 52 55 65 80 88 92 104 110 115 130 143 176 184 208 220 230 253 260 286 299 368 440 449 460 506 520 572 598 715 880 898 920 1012 1040 1144 1196 1265 1430 1495 1796 1840 2024 2245 2288 2392 2530 2860 2990 3289 3592 4048 4490 4784 4939 5060 5720 5837 5980 6578 7184 8980 9878 10120 10327 11440 11674 11960 13156 16445 17960 19756 20240 20654 23348 23920 24695 26312 29185 32890 35920 39512 41308 46696 49390 51635 52624 58370 64207 65780 79024 82616 93392 98780 103270 113597 116740 128414 131560 134251 165232 197560 206540 227194 233480 256828 263120 268502 321035 395120 413080 454388 466960 513656 537004 567985 642070 671255 826160 908776 1027312 1074008 1135970 1284140 1342510 1476761 1817552 2148016 2271940 2568280 2685020 2953522 4543880 5136560 5370040 5907044 7383805 9087760 10740080 11814088 14767610 23628176 29535220 59070440 118140880