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21140040 = 23351131559
BaseRepresentation
bin101000010100…
…1001001001000
31110210000200110
41100221021020
520402440130
62033034320
7344454525
oct120511110
943700613
1021140040
1110a29909
1270b59a0
1344c22cc
142b4414c
151cc8ab0
hex1429248

21140040 has 64 divisors (see below), whose sum is σ = 64022400. Its totient is φ = 5583872.

The previous prime is 21140033. The next prime is 21140069. The reversal of 21140040 is 4004112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21139998 and 21140025.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12781 + ... + 14339.

It is an arithmetic number, because the mean of its divisors is an integer number (1000350).

Almost surely, 221140040 is an apocalyptic number.

21140040 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 21140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32011200).

21140040 is an abundant number, since it is smaller than the sum of its proper divisors (42882360).

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

21140040 is a wasteful number, since it uses less digits than its factorization.

21140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 21140040 is about 4597.8299229093. The cubic root of 21140040 is about 276.5043288870.

Adding to 21140040 its reverse (4004112), we get a palindrome (25144152).

The spelling of 21140040 in words is "twenty-one million, one hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1559 1695 2260 2712 3118 3390 4520 4677 6236 6780 7795 9354 12472 13560 15590 18708 23385 31180 37416 46770 62360 93540 176167 187080 352334 528501 704668 880835 1057002 1409336 1761670 2114004 2642505 3523340 4228008 5285010 7046680 10570020 21140040