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20703144 = 23371117659
BaseRepresentation
bin100111011111…
…0011110101000
31102221211101010
41032332132220
520300000034
62015423520
7340655010
oct116763650
942854333
1020703144
1110760640
126b24ba0
13439b4a7
142a6cc40
151c3e3e9
hex13be7a8

20703144 has 128 divisors (see below), whose sum is σ = 68428800. Its totient is φ = 5053440.

The previous prime is 20703143. The next prime is 20703191. The reversal of 20703144 is 44130702.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 20703144.

It is not an unprimeable number, because it can be changed into a prime (20703143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31087 + ... + 31745.

It is an arithmetic number, because the mean of its divisors is an integer number (534600).

Almost surely, 220703144 is an apocalyptic number.

20703144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20703144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34214400).

20703144 is an abundant number, since it is smaller than the sum of its proper divisors (47725656).

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

20703144 is a wasteful number, since it uses less digits than its factorization.

20703144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 20703144 is about 4550.0707686804. The cubic root of 20703144 is about 274.5862383776.

Adding to 20703144 its reverse (44130702), we get a palindrome (64833846).

The spelling of 20703144 in words is "twenty million, seven hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 33 34 42 44 51 56 66 68 77 84 88 102 119 132 136 154 168 187 204 231 238 264 308 357 374 408 462 476 561 616 659 714 748 924 952 1122 1309 1318 1428 1496 1848 1977 2244 2618 2636 2856 3927 3954 4488 4613 5236 5272 7249 7854 7908 9226 10472 11203 13839 14498 15708 15816 18452 21747 22406 27678 28996 31416 33609 36904 43494 44812 50743 55356 57992 67218 78421 86988 89624 101486 110712 123233 134436 152229 156842 173976 202972 235263 246466 268872 304458 313684 369699 405944 470526 492932 608916 627368 739398 862631 941052 985864 1217832 1478796 1725262 1882104 2587893 2957592 3450524 5175786 6901048 10351572 20703144