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21486740 = 22511101967
BaseRepresentation
bin101000111110…
…1110010010100
31111102122021012
41101331302110
521000033430
62044311352
7350430362
oct121756224
944378235
1021486740
1111146340
127242558
1345b4062
142bd4632
151d46695
hex147dc94

21486740 has 48 divisors (see below), whose sum is σ = 49762944. Its totient is φ = 7728000.

The previous prime is 21486737. The next prime is 21486779. The reversal of 21486740 is 4768412.

It is a junction number, because it is equal to n+sod(n) for n = 21486697 and 21486706.

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 15 ways as a sum of consecutive naturals, for example, 21737 + ... + 22703.

It is an arithmetic number, because the mean of its divisors is an integer number (1036728).

Almost surely, 221486740 is an apocalyptic number.

21486740 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 21486740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24881472).

21486740 is an abundant number, since it is smaller than the sum of its proper divisors (28276204).

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

21486740 is a wasteful number, since it uses less digits than its factorization.

21486740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 21486740 is about 4635.3791646423. The cubic root of 21486740 is about 278.0077116022.

It can be divided in two parts, 2148 and 6740, that added together give a palindrome (8888).

The spelling of 21486740 in words is "twenty-one million, four hundred eighty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 967 1010 1111 1934 2020 2222 3868 4444 4835 5555 9670 10637 11110 19340 21274 22220 42548 53185 97667 106370 195334 212740 390668 488335 976670 1074337 1953340 2148674 4297348 5371685 10743370 21486740