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114307461 = 3215780897
BaseRepresentation
bin1101101000000…
…11000110000101
321222002102100200
412310003012011
5213230314321
615202001113
72555411622
oct664030605
9258072320
10114307461
1159583984
1232346199
131a8b2b68
1411277349
15a07dd26
hex6d03185

114307461 has 12 divisors (see below), whose sum is σ = 166164492. Its totient is φ = 75718656.

The previous prime is 114307421. The next prime is 114307463. The reversal of 114307461 is 164703411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 71927361 + 42380100 = 8481^2 + 6510^2 .

It is not a de Polignac number, because 114307461 - 26 = 114307397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114307463) 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 in 11 ways as a sum of consecutive naturals, for example, 39036 + ... + 41861.

It is an arithmetic number, because the mean of its divisors is an integer number (13847041).

Almost surely, 2114307461 is an apocalyptic number.

It is an amenable number.

114307461 is a deficient number, since it is larger than the sum of its proper divisors (51857031).

114307461 is a wasteful number, since it uses less digits than its factorization.

114307461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81060 (or 81057 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 114307461 is about 10691.4667375435. The cubic root of 114307461 is about 485.3162793367.

The spelling of 114307461 in words is "one hundred fourteen million, three hundred seven thousand, four hundred sixty-one".

Divisors: 1 3 9 157 471 1413 80897 242691 728073 12700829 38102487 114307461