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10047114 = 2327112659
BaseRepresentation
bin100110010100…
…111010001010
3200220110001100
4212110322022
510033001424
6555202230
7151253610
oct46247212
920813040
1010047114
115742600
123446376
13210a14c
1414976b0
15d36dc9
hex994e8a

10047114 has 72 divisors (see below), whose sum is σ = 27387360. Its totient is φ = 2605680.

The previous prime is 10047109. The next prime is 10047133. The reversal of 10047114 is 41174001.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 14917 + ... + 15575.

It is an arithmetic number, because the mean of its divisors is an integer number (380380).

Almost surely, 210047114 is an apocalyptic number.

10047114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10047114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13693680).

10047114 is an abundant number, since it is smaller than the sum of its proper divisors (17340246).

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

10047114 is a wasteful number, since it uses less digits than its factorization.

10047114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10047114 is about 3169.7182840120. The cubic root of 10047114 is about 215.7812858139.

It can be divided in two parts, 1004 and 7114, that added together give a palindrome (8118).

The spelling of 10047114 in words is "ten million, forty-seven thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 659 693 726 847 1089 1318 1386 1694 1977 2178 2541 3954 4613 5082 5931 7249 7623 9226 11862 13839 14498 15246 21747 27678 41517 43494 50743 65241 79739 83034 101486 130482 152229 159478 239217 304458 456687 478434 558173 717651 913374 1116346 1435302 1674519 3349038 5023557 10047114