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21435040 = 2551119641
BaseRepresentation
bin101000111000…
…1001010100000
31111100000100101
41101301022200
520441410130
62043232144
7350123554
oct121611240
944300311
1021435040
1111110510
127218654
134596673
142bbd864
151d361ca
hex14712a0

21435040 has 96 divisors (see below), whose sum is σ = 58242240. Its totient is φ = 7372800.

The previous prime is 21435023. The next prime is 21435049. The reversal of 21435040 is 4053412.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 21434999 and 21435017.

It is not an unprimeable number, because it can be changed into a prime (21435049) 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, 33120 + ... + 33760.

It is an arithmetic number, because the mean of its divisors is an integer number (606690).

Almost surely, 221435040 is an apocalyptic number.

21435040 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 21435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29121120).

21435040 is an abundant number, since it is smaller than the sum of its proper divisors (36807200).

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

21435040 is a wasteful number, since it uses less digits than its factorization.

21435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 21435040 is about 4629.7991317119. The cubic root of 21435040 is about 277.7845578197.

Adding to 21435040 its reverse (4053412), we get a palindrome (25488452).

The spelling of 21435040 in words is "twenty-one million, four hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 76 80 88 95 110 152 160 176 190 209 220 304 352 380 418 440 608 641 760 836 880 1045 1282 1520 1672 1760 2090 2564 3040 3205 3344 4180 5128 6410 6688 7051 8360 10256 12179 12820 14102 16720 20512 24358 25640 28204 33440 35255 48716 51280 56408 60895 70510 97432 102560 112816 121790 133969 141020 194864 225632 243580 267938 282040 389728 487160 535876 564080 669845 974320 1071752 1128160 1339690 1948640 2143504 2679380 4287008 5358760 10717520 21435040