Search a number
-
+
20721540 = 22357103479
BaseRepresentation
bin100111100001…
…0111110000100
31102222202121110
41033002332010
520301042130
62020045020
7341062440
oct117027604
942882543
1020721540
1110773444
126b33770
1343a6988
142a75820
151c44ab0
hex13c2f84

20721540 has 96 divisors (see below), whose sum is σ = 67092480. Its totient is φ = 4680576.

The previous prime is 20721529. The next prime is 20721541. The reversal of 20721540 is 4512702.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20721541) 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, 43021 + ... + 43499.

It is an arithmetic number, because the mean of its divisors is an integer number (698880).

Almost surely, 220721540 is an apocalyptic number.

20721540 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 20721540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33546240).

20721540 is an abundant number, since it is smaller than the sum of its proper divisors (46370940).

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

20721540 is a wasteful number, since it uses less digits than its factorization.

20721540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 20721540 is about 4552.0918268418. The cubic root of 20721540 is about 274.6675431471.

The spelling of 20721540 in words is "twenty million, seven hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 103 105 140 206 210 309 412 420 479 515 618 721 958 1030 1236 1437 1442 1545 1916 2060 2163 2395 2874 2884 3090 3353 3605 4326 4790 5748 6180 6706 7185 7210 8652 9580 10059 10815 13412 14370 14420 16765 20118 21630 28740 33530 40236 43260 49337 50295 67060 98674 100590 148011 197348 201180 246685 296022 345359 493370 592044 690718 740055 986740 1036077 1381436 1480110 1726795 2072154 2960220 3453590 4144308 5180385 6907180 10360770 20721540