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114849630 = 2335728681
BaseRepresentation
bin1101101100001…
…11011101011110
322000002222002000
412312013131132
5213400142010
615221343130
72563130400
oct666073536
9260088060
10114849630
1159914255
1232567aa6
131aa4287c
1411378b70
15a1397c0
hex6d8775e

114849630 has 96 divisors (see below), whose sum is σ = 356309280. Its totient is φ = 26248320.

The previous prime is 114849629. The next prime is 114849643. The reversal of 114849630 is 36948411.

114849630 is a `hidden beast` number, since 1 + 14 + 8 + 4 + 9 + 630 = 666.

It is a super-2 number, since 2×1148496302 = 26380875022273800, which contains 22 as substring.

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, 8890 + ... + 17570.

It is an arithmetic number, because the mean of its divisors is an integer number (3711555).

Almost surely, 2114849630 is an apocalyptic number.

114849630 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 114849630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178154640).

114849630 is an abundant number, since it is smaller than the sum of its proper divisors (241459650).

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

114849630 is a wasteful number, since it uses less digits than its factorization.

114849630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8711 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 114849630 is about 10716.7919640161. The cubic root of 114849630 is about 486.0823667744.

The spelling of 114849630 in words is "one hundred fourteen million, eight hundred forty-nine thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 378 441 490 630 735 882 945 1323 1470 1890 2205 2646 4410 6615 8681 13230 17362 26043 43405 52086 60767 78129 86810 121534 130215 156258 182301 234387 260430 303835 364602 390645 425369 468774 546903 607670 781290 850738 911505 1093806 1171935 1276107 1640709 1823010 2126845 2343870 2552214 2734515 3281418 3828321 4253690 5469030 6380535 7656642 8203545 11484963 12761070 16407090 19141605 22969926 38283210 57424815 114849630