Search a number
-
+
21040488 = 23327109383
BaseRepresentation
bin101000001000…
…0110101101000
31110120222010100
41100100311220
520341243423
62030545400
7343561350
oct120206550
943528110
1021040488
1110971037
127068260
134488bc1
142b19b60
151ca9343
hex1410d68

21040488 has 96 divisors (see below), whose sum is σ = 65894400. Its totient is φ = 5940864.

The previous prime is 21040463. The next prime is 21040489. The reversal of 21040488 is 88404012.

It is not an unprimeable number, because it can be changed into a prime (21040489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54745 + ... + 55127.

It is an arithmetic number, because the mean of its divisors is an integer number (686400).

Almost surely, 221040488 is an apocalyptic number.

21040488 is a gapful number since it is divisible by the number (28) 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 21040488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32947200).

21040488 is an abundant number, since it is smaller than the sum of its proper divisors (44853912).

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

21040488 is a wasteful number, since it uses less digits than its factorization.

21040488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 21040488 is about 4586.9911706913. The cubic root of 21040488 is about 276.0696106712.

It can be divided in two parts, 21040 and 488, that added together give a triangular number (21528 = T207).

The spelling of 21040488 in words is "twenty-one million, forty thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 109 126 168 218 252 327 383 436 504 654 763 766 872 981 1149 1308 1526 1532 1962 2289 2298 2616 2681 3052 3064 3447 3924 4578 4596 5362 6104 6867 6894 7848 8043 9156 9192 10724 13734 13788 16086 18312 21448 24129 27468 27576 32172 41747 48258 54936 64344 83494 96516 125241 166988 193032 250482 292229 333976 375723 500964 584458 751446 876687 1001928 1168916 1502892 1753374 2337832 2630061 3005784 3506748 5260122 7013496 10520244 21040488