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115868214 = 232711412039
BaseRepresentation
bin1101110100000…
…00001000110110
322002000201022100
412322000020312
5214130240324
615255242530
72604602130
oct672001066
9262021270
10115868214
115a44a560
1232979446
131b00b397
1411562050
15a28b4c9
hex6e80236

115868214 has 96 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 29347200.

The previous prime is 115868183. The next prime is 115868231. The reversal of 115868214 is 412868511.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55807 + ... + 57845.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 2115868214 is an apocalyptic number.

115868214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115868214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

115868214 is an abundant number, since it is smaller than the sum of its proper divisors (204917706).

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

115868214 is a wasteful number, since it uses less digits than its factorization.

115868214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2103 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 115868214 is about 10764.2098641749. The cubic root of 115868214 is about 487.5151364137.

The spelling of 115868214 in words is "one hundred fifteen million, eight hundred sixty-eight thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 41 42 63 66 77 82 99 123 126 154 198 231 246 287 369 451 462 574 693 738 861 902 1353 1386 1722 2039 2583 2706 3157 4059 4078 5166 6117 6314 8118 9471 12234 14273 18351 18942 22429 28413 28546 36702 42819 44858 56826 67287 83599 85638 128457 134574 157003 167198 201861 250797 256914 314006 403722 471009 501594 585193 752391 919589 942018 1170386 1413027 1504782 1755579 1839178 2758767 2826054 3511158 5266737 5517534 6437123 8276301 10533474 12874246 16552602 19311369 38622738 57934107 115868214