Search a number
-
+
21578140 = 2252361769
BaseRepresentation
bin101001001010…
…0000110011100
31111121021122101
41102110012130
521011000030
62050254444
7351261013
oct122240634
944537571
1021578140
11111a8a81
127287424
13461683c
142c19a7a
151d637ca
hex149419c

21578140 has 48 divisors (see below), whose sum is σ = 48121920. Its totient is φ = 8110080.

The previous prime is 21578093. The next prime is 21578147. The reversal of 21578140 is 4187512.

It is a super-2 number, since 2×215781402 = 931232251719200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21578099 and 21578108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21578147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27676 + ... + 28444.

It is an arithmetic number, because the mean of its divisors is an integer number (1002540).

Almost surely, 221578140 is an apocalyptic number.

21578140 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 21578140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24060960).

21578140 is an abundant number, since it is smaller than the sum of its proper divisors (26543780).

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

21578140 is a wasteful number, since it uses less digits than its factorization.

21578140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 21578140 is about 4645.2276585761. The cubic root of 21578140 is about 278.4013491094.

The spelling of 21578140 in words is "twenty-one million, five hundred seventy-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 61 92 115 122 230 244 305 460 610 769 1220 1403 1538 2806 3076 3845 5612 7015 7690 14030 15380 17687 28060 35374 46909 70748 88435 93818 176870 187636 234545 353740 469090 938180 1078907 2157814 4315628 5394535 10789070 21578140