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114406016 = 27893797
BaseRepresentation
bin1101101000110…
…11001010000000
321222021102112212
412310123022000
5213241443031
615204041252
72556302144
oct664331200
9258242485
10114406016
1159640a2a
1232393228
131a91898a
14112a1224
15a09d12b
hex6d1b280

114406016 has 16 divisors (see below), whose sum is σ = 227918490. Its totient is φ = 57202944.

The previous prime is 114406013. The next prime is 114406069. The reversal of 114406016 is 610604411.

It can be written as a sum of positive squares in only one way, i.e., 114404416 + 1600 = 10696^2 + 40^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 114405982 and 114406000.

It is not an unprimeable number, because it can be changed into a prime (114406013) by changing a digit.

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 as a sum of consecutive naturals, namely, 446771 + ... + 447026.

Almost surely, 2114406016 is an apocalyptic number.

114406016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114406016 is a deficient number, since it is larger than the sum of its proper divisors (113512474).

114406016 is an frugal number, since it uses more digits than its factorization.

114406016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893811 (or 893799 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 114406016 is about 10696.0747940541. The cubic root of 114406016 is about 485.4557179051.

The spelling of 114406016 in words is "one hundred fourteen million, four hundred six thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 893797 1787594 3575188 7150376 14300752 28601504 57203008 114406016