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118031680 = 26513171669
BaseRepresentation
bin1110000100100…
…00010101000000
322020002122000201
413002100111000
5220204003210
615413454544
72632152454
oct702202500
9266078021
10118031680
1160697a48
1233641454
131b5b8040
1411966664
15a56753a
hex7090540

118031680 has 112 divisors (see below), whose sum is σ = 320680080. Its totient is φ = 40992768.

The previous prime is 118031677. The next prime is 118031681. The reversal of 118031680 is 86130811.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1218816 + 116812864 = 1104^2 + 10808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118031681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69886 + ... + 71554.

It is an arithmetic number, because the mean of its divisors is an integer number (2863215).

Almost surely, 2118031680 is an apocalyptic number.

118031680 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 118031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160340040).

118031680 is an abundant number, since it is smaller than the sum of its proper divisors (202648400).

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

118031680 is a wasteful number, since it uses less digits than its factorization.

118031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 118031680 is about 10864.2385835364. The cubic root of 118031680 is about 490.5307036379.

The spelling of 118031680 in words is "one hundred eighteen million, thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 130 136 160 170 208 221 260 272 320 340 416 442 520 544 680 832 884 1040 1088 1105 1360 1669 1768 2080 2210 2720 3338 3536 4160 4420 5440 6676 7072 8345 8840 13352 14144 16690 17680 21697 26704 28373 33380 35360 43394 53408 56746 66760 70720 86788 106816 108485 113492 133520 141865 173576 216970 226984 267040 283730 347152 368849 433940 453968 534080 567460 694304 737698 867880 907936 1134920 1388608 1475396 1735760 1815872 1844245 2269840 2950792 3471520 3688490 4539680 5901584 6943040 7376980 9079360 11803168 14753960 23606336 29507920 59015840 118031680