Search a number
-
+
21189870 = 2335136037
BaseRepresentation
bin101000011010…
…1010011101110
31110212120001000
41100311103232
520411033440
62034101130
7345053022
oct120652356
943776030
1021189870
1110a63299
12711a7a6
13450bbb0
142b58382
151cd8730
hex14354ee

21189870 has 64 divisors (see below), whose sum is σ = 60863040. Its totient is φ = 5215104.

The previous prime is 21189827. The next prime is 21189899. The reversal of 21189870 is 7898112.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 492 + ... + 6528.

It is an arithmetic number, because the mean of its divisors is an integer number (950985).

Almost surely, 221189870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21189870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30431520).

21189870 is an abundant number, since it is smaller than the sum of its proper divisors (39673170).

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

21189870 is a wasteful number, since it uses less digits than its factorization.

21189870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066 (or 6060 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 21189870 is about 4603.2455941433. The cubic root of 21189870 is about 276.7214114019.

The spelling of 21189870 in words is "twenty-one million, one hundred eighty-nine thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 6037 12074 18111 30185 36222 54333 60370 78481 90555 108666 156962 162999 181110 235443 271665 325998 392405 470886 543330 706329 784810 814995 1177215 1412658 1629990 2118987 2354430 3531645 4237974 7063290 10594935 21189870