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116006590 = 2571987223
BaseRepresentation
bin1101110101000…
…01111010111110
322002021202010101
412322201322332
5214144202330
615302231314
72606016430
oct672417276
9262252111
10116006590
115a534517
1232a2553a
131b05936b
141159a650
15a2b74ca
hex6ea1ebe

116006590 has 32 divisors (see below), whose sum is σ = 251205120. Its totient is φ = 37679904.

The previous prime is 116006587. The next prime is 116006593. The reversal of 116006590 is 95600611.

It is an interprime number because it is at equal distance from previous prime (116006587) and next prime (116006593).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116006593) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42282 + ... + 44941.

It is an arithmetic number, because the mean of its divisors is an integer number (7850160).

Almost surely, 2116006590 is an apocalyptic number.

116006590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116006590 is an abundant number, since it is smaller than the sum of its proper divisors (135198530).

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

116006590 is a wasteful number, since it uses less digits than its factorization.

116006590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87256.

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 116006590 is about 10770.6355429937. The cubic root of 116006590 is about 487.7091313989.

The spelling of 116006590 in words is "one hundred sixteen million, six thousand, five hundred ninety".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 665 1330 87223 174446 436115 610561 872230 1221122 1657237 3052805 3314474 6105610 8286185 11600659 16572370 23201318 58003295 116006590