Search a number
-
+
21621642 = 2372251293
BaseRepresentation
bin101001001111…
…0101110001010
31111200111022120
41102132232022
521013343032
62051232110
7351531600
oct122365612
944614276
1021621642
1111228729
1272a8636
134630593
142c2b870
151d7162c
hex149eb8a

21621642 has 48 divisors (see below), whose sum is σ = 50676192. Its totient is φ = 6132000.

The previous prime is 21621641. The next prime is 21621643. The reversal of 21621642 is 24612612.

It is an interprime number because it is at equal distance from previous prime (21621641) and next prime (21621643).

It is not an unprimeable number, because it can be changed into a prime (21621641) 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, 73648 + ... + 73940.

It is an arithmetic number, because the mean of its divisors is an integer number (1055754).

Almost surely, 221621642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21621642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25338096).

21621642 is an abundant number, since it is smaller than the sum of its proper divisors (29054550).

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

21621642 is a wasteful number, since it uses less digits than its factorization.

21621642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 556 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 21621642 is about 4649.9077410202. The cubic root of 21621642 is about 278.5883112526.

The spelling of 21621642 in words is "twenty-one million, six hundred twenty-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 251 293 294 502 586 753 879 1506 1757 1758 2051 3514 4102 5271 6153 10542 12299 12306 14357 24598 28714 36897 43071 73543 73794 86142 147086 220629 441258 514801 1029602 1544403 3088806 3603607 7207214 10810821 21621642