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10014642 = 23211371367
BaseRepresentation
bin100110001100…
…111110110010
3200211210111200
4212030332302
510030432032
6554352030
7151060131
oct46147662
920753450
1010014642
115720170
12342b616
1320c8431
141489918
15d2c47c
hex98cfb2

10014642 has 48 divisors (see below), whose sum is σ = 24328512. Its totient is φ = 2950560.

The previous prime is 10014617. The next prime is 10014659. The reversal of 10014642 is 24641001.

10014642 is a `hidden beast` number, since 10 + 0 + 14 + 642 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6643 + ... + 8009.

It is an arithmetic number, because the mean of its divisors is an integer number (506844).

Almost surely, 210014642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10014642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12164256).

10014642 is an abundant number, since it is smaller than the sum of its proper divisors (14313870).

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

10014642 is a wasteful number, since it uses less digits than its factorization.

10014642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10014642 is about 3164.5919168196. The cubic root of 10014642 is about 215.5485685001.

Adding to 10014642 its reverse (24641001), we get a palindrome (34655643).

The spelling of 10014642 in words is "ten million, fourteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 1367 2442 2734 3663 4101 7326 8202 12303 15037 24606 30074 45111 50579 90222 101158 135333 151737 270666 303474 455211 556369 910422 1112738 1669107 3338214 5007321 10014642