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10135314 = 233726813
BaseRepresentation
bin100110101010…
…011100010010
3201001221001000
4212222130102
510043312224
61001122430
7152102010
oct46523422
921057030
1010135314
1157a28a2
123489416
13213b337
1414bb8b0
15d530c9
hex9aa712

10135314 has 32 divisors (see below), whose sum is σ = 25741440. Its totient is φ = 2895696.

The previous prime is 10135313. The next prime is 10135319. The reversal of 10135314 is 41353101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10135313) 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 15 ways as a sum of consecutive naturals, for example, 13029 + ... + 13784.

It is an arithmetic number, because the mean of its divisors is an integer number (804420).

Almost surely, 210135314 is an apocalyptic number.

10135314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10135314 is an abundant number, since it is smaller than the sum of its proper divisors (15606126).

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

10135314 is a wasteful number, since it uses less digits than its factorization.

10135314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26831 (or 26825 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10135314 is about 3183.6007915566. The cubic root of 10135314 is about 216.4108691951.

Adding to 10135314 its reverse (41353101), we get a palindrome (51488415).

The spelling of 10135314 in words is "ten million, one hundred thirty-five thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 26813 53626 80439 160878 187691 241317 375382 482634 563073 723951 1126146 1447902 1689219 3378438 5067657 10135314