Search a number
-
+
20287344 = 2437112499
BaseRepresentation
bin100110101100…
…0111101110000
31102011201000010
41031120331300
520143143334
62002454520
7334303530
oct115307560
942151003
1020287344
11104a7200
126964440
13428415c
1429a14c0
151bab0e9
hex1358f70

20287344 has 120 divisors (see below), whose sum is σ = 65968000. Its totient is φ = 5258880.

The previous prime is 20287343. The next prime is 20287363. The reversal of 20287344 is 44378202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20287343) by changing a digit.

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, 40407 + ... + 40905.

Almost surely, 220287344 is an apocalyptic number.

20287344 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 20287344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32984000).

20287344 is an abundant number, since it is smaller than the sum of its proper divisors (45680656).

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

20287344 is a wasteful number, since it uses less digits than its factorization.

20287344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 20287344 is about 4504.1474220989. The cubic root of 20287344 is about 272.7355380121.

The spelling of 20287344 in words is "twenty million, two hundred eighty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 499 528 616 726 847 924 968 998 1232 1452 1497 1694 1848 1936 1996 2541 2904 2994 3388 3493 3696 3992 5082 5489 5808 5988 6776 6986 7984 10164 10479 10978 11976 13552 13972 16467 20328 20958 21956 23952 27944 32934 38423 40656 41916 43912 55888 60379 65868 76846 83832 87824 115269 120758 131736 153692 167664 181137 230538 241516 263472 307384 362274 422653 461076 483032 614768 724548 845306 922152 966064 1267959 1449096 1690612 1844304 2535918 2898192 3381224 5071836 6762448 10143672 20287344