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114643296 = 2533132689
BaseRepresentation
bin1101101010101…
…01000101100000
321222201111001000
412311111011200
5213322041141
615213112000
72561311005
oct665250540
9258644030
10114643296
1159793229
1232488600
131a99c991
14113238ac
15a0e85b6
hex6d55160

114643296 has 48 divisors (see below), whose sum is σ = 334378800. Its totient is φ = 38214144.

The previous prime is 114643273. The next prime is 114643297. The reversal of 114643296 is 692346411.

114643296 is a `hidden beast` number, since 1 + 1 + 4 + 643 + 2 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 114643296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114643297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65481 + ... + 67208.

It is an arithmetic number, because the mean of its divisors is an integer number (6966225).

Almost surely, 2114643296 is an apocalyptic number.

114643296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114643296 is an abundant number, since it is smaller than the sum of its proper divisors (219735504).

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

114643296 is a wasteful number, since it uses less digits than its factorization.

114643296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132708 (or 132694 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 114643296 is about 10707.1609682492. The cubic root of 114643296 is about 485.7911005881.

The spelling of 114643296 in words is "one hundred fourteen million, six hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 132689 265378 398067 530756 796134 1061512 1194201 1592268 2123024 2388402 3184536 3582603 4246048 4776804 6369072 7165206 9553608 12738144 14330412 19107216 28660824 38214432 57321648 114643296