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114900705 = 32517150197
BaseRepresentation
bin1101101100100…
…11111011100001
322000012120010200
412312103323201
5213403310310
615222415413
72563432323
oct666237341
9260176120
10114900705
1159949667
1232591569
131aa5cbaa
141138d613
15a1499c0
hex6d93ee1

114900705 has 24 divisors (see below), whose sum is σ = 210877992. Its totient is φ = 57675264.

The previous prime is 114900703. The next prime is 114900707. The reversal of 114900705 is 507009411.

It is an interprime number because it is at equal distance from previous prime (114900703) and next prime (114900707).

It can be written as a sum of positive squares in 4 ways, for example, as 24117921 + 90782784 = 4911^2 + 9528^2 .

It is not a de Polignac number, because 114900705 - 21 = 114900703 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114900701) 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, 74334 + ... + 75863.

It is an arithmetic number, because the mean of its divisors is an integer number (8786583).

Almost surely, 2114900705 is an apocalyptic number.

114900705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114900705 is a deficient number, since it is larger than the sum of its proper divisors (95977287).

114900705 is a wasteful number, since it uses less digits than its factorization.

114900705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150225 (or 150222 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 114900705 is about 10719.1746417343. The cubic root of 114900705 is about 486.1544116374.

The spelling of 114900705 in words is "one hundred fourteen million, nine hundred thousand, seven hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 150197 450591 750985 1351773 2252955 2553349 6758865 7660047 12766745 22980141 38300235 114900705