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116683210 = 2572534493
BaseRepresentation
bin1101111010001…
…11000111001010
322010120010021101
412331013013022
5214332330320
615324532014
72614535200
oct675070712
9263503241
10116683210
115a956906
12330b100a
131b235327
14116d5070
15a39cc0a
hex6f471ca

116683210 has 48 divisors (see below), whose sum is σ = 248985576. Its totient is φ = 39242112.

The previous prime is 116683207. The next prime is 116683213. The reversal of 116683210 is 12386611.

It is an interprime number because it is at equal distance from previous prime (116683207) and next prime (116683213).

It can be written as a sum of positive squares in 4 ways, for example, as 116661601 + 21609 = 10801^2 + 147^2 .

It is a super-2 number, since 2×1166832102 = 27229942991808200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116683213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23724 + ... + 28216.

Almost surely, 2116683210 is an apocalyptic number.

116683210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116683210 is an abundant number, since it is smaller than the sum of its proper divisors (132302366).

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

116683210 is a wasteful number, since it uses less digits than its factorization.

116683210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4567 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 116683210 is about 10802.0002777263. Note that the first 3 decimals coincide. The cubic root of 116683210 is about 488.6554978927.

It can be divided in two parts, 11668 and 3210, that added together give a triangular number (14878 = T172).

The spelling of 116683210 in words is "one hundred sixteen million, six hundred eighty-three thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 35 49 53 70 98 106 245 265 371 490 530 742 1855 2597 3710 4493 5194 8986 12985 22465 25970 31451 44930 62902 157255 220157 238129 314510 440314 476258 1100785 1190645 1666903 2201570 2381290 3333806 8334515 11668321 16669030 23336642 58341605 116683210