[go: up one dir, main page]

Search a number
-
+
21458820 = 22353183139
BaseRepresentation
bin101000111011…
…0111110000100
31111101012222010
41101312332010
520443140240
62043534220
7350253105
oct121667604
944335863
1021458820
1111127369
12722a370
1345a4436
142bc83ac
151d3d280
hex1476f84

21458820 has 96 divisors (see below), whose sum is σ = 63221760. Its totient is φ = 5431680.

The previous prime is 21458819. The next prime is 21458821. The reversal of 21458820 is 2885412.

It is an interprime number because it is at equal distance from previous prime (21458819) and next prime (21458821).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21458821) 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 31 ways as a sum of consecutive naturals, for example, 154311 + ... + 154449.

It is an arithmetic number, because the mean of its divisors is an integer number (658560).

Almost surely, 221458820 is an apocalyptic number.

21458820 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 21458820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31610880).

21458820 is an abundant number, since it is smaller than the sum of its proper divisors (41762940).

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

21458820 is a wasteful number, since it uses less digits than its factorization.

21458820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 21458820 is about 4632.3665658063. The cubic root of 21458820 is about 277.8872444409.

The spelling of 21458820 in words is "twenty-one million, four hundred fifty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 83 93 124 139 155 166 186 249 278 310 332 372 415 417 465 498 556 620 695 830 834 930 996 1245 1390 1660 1668 1860 2085 2490 2573 2780 4170 4309 4980 5146 7719 8340 8618 10292 11537 12865 12927 15438 17236 21545 23074 25730 25854 30876 34611 38595 43090 46148 51460 51708 57685 64635 69222 77190 86180 115370 129270 138444 154380 173055 230740 258540 346110 357647 692220 715294 1072941 1430588 1788235 2145882 3576470 4291764 5364705 7152940 10729410 21458820