Search a number
-
+
21023640 = 23325115309
BaseRepresentation
bin101000000110…
…0101110011000
31110120010000100
41100030232120
520340224030
62030335400
7343461261
oct120145630
943503010
1021023640
111095a410
12705a560
134481331
142b13968
151ca4360
hex140cb98

21023640 has 96 divisors (see below), whose sum is σ = 74552400. Its totient is φ = 5095680.

The previous prime is 21023623. The next prime is 21023641. The reversal of 21023640 is 4632012.

It is a happy number.

21023640 is a `hidden beast` number, since 2 + 1 + 0 + 23 + 640 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21023641) 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, 1306 + ... + 6614.

Almost surely, 221023640 is an apocalyptic number.

21023640 is a gapful number since it is divisible by the number (20) 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 21023640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37276200).

21023640 is an abundant number, since it is smaller than the sum of its proper divisors (53528760).

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

21023640 is a wasteful number, since it uses less digits than its factorization.

21023640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5337 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 21023640 is about 4585.1543049280. The cubic root of 21023640 is about 275.9959041610.

Adding to 21023640 its reverse (4632012), we get a palindrome (25655652).

It can be divided in two parts, 210236 and 40, that added together give a triangular number (210276 = T648).

The spelling of 21023640 in words is "twenty-one million, twenty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 5309 10618 15927 21236 26545 31854 42472 47781 53090 58399 63708 79635 95562 106180 116798 127416 159270 175197 191124 212360 233596 238905 291995 318540 350394 382248 467192 477810 525591 583990 637080 700788 875985 955620 1051182 1167980 1401576 1751970 1911240 2102364 2335960 2627955 3503940 4204728 5255910 7007880 10511820 21023640