Search a number
-
+
116137710 = 232513175839
BaseRepresentation
bin1101110110000…
…01111011101110
322002112101222200
412323001323232
5214212401320
615305122330
72610103623
oct673017356
9262471880
10116137710
115a613a87
1232a893a6
131b0a3c50
14115d234a
15a2e1290
hex6ec1eee

116137710 has 96 divisors (see below), whose sum is σ = 344373120. Its totient is φ = 26901504.

The previous prime is 116137699. The next prime is 116137739. The reversal of 116137710 is 17731611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16971 + ... + 22809.

It is an arithmetic number, because the mean of its divisors is an integer number (3587220).

Almost surely, 2116137710 is an apocalyptic number.

116137710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116137710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172186560).

116137710 is an abundant number, since it is smaller than the sum of its proper divisors (228235410).

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

116137710 is a wasteful number, since it uses less digits than its factorization.

116137710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882 (or 5879 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 116137710 is about 10776.7207442710. The cubic root of 116137710 is about 487.8928116053.

The spelling of 116137710 in words is "one hundred sixteen million, one hundred thirty-seven thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1530 1989 2210 3315 3978 5839 6630 9945 11678 17517 19890 29195 35034 52551 58390 75907 87585 99263 105102 151814 175170 198526 227721 262755 297789 379535 455442 496315 525510 595578 683163 759070 893367 992630 1138605 1290419 1366326 1488945 1786734 2277210 2580838 2977890 3415815 3871257 4466835 6452095 6831630 7742514 8933670 11613771 12904190 19356285 23227542 38712570 58068855 116137710