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21400104 = 23311103787
BaseRepresentation
bin101000110100…
…0101000101000
31111021020102110
41101220220220
520434300404
62042402320
7346616655
oct121505050
944236373
1021400104
1111097240
1272003a0
1345837ab
142bb0c2c
151d2ab89
hex1468a28

21400104 has 64 divisors (see below), whose sum is σ = 59005440. Its totient is φ = 6413760.

The previous prime is 21400103. The next prime is 21400109. The reversal of 21400104 is 40100412.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21400104.

It is not an unprimeable number, because it can be changed into a prime (21400103) 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, 26799 + ... + 27585.

It is an arithmetic number, because the mean of its divisors is an integer number (921960).

Almost surely, 221400104 is an apocalyptic number.

21400104 is a gapful number since it is divisible by the number (24) 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 21400104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29502720).

21400104 is an abundant number, since it is smaller than the sum of its proper divisors (37605336).

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

21400104 is a wasteful number, since it uses less digits than its factorization.

21400104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 906 counting only the distinct ones).

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

The square root of 21400104 is about 4626.0246432547. The cubic root of 21400104 is about 277.6335596022.

Adding to 21400104 its reverse (40100412), we get a palindrome (61500516).

The spelling of 21400104 in words is "twenty-one million, four hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 132 206 264 309 412 618 787 824 1133 1236 1574 2266 2361 2472 3148 3399 4532 4722 6296 6798 8657 9064 9444 13596 17314 18888 25971 27192 34628 51942 69256 81061 103884 162122 207768 243183 324244 486366 648488 891671 972732 1783342 1945464 2675013 3566684 5350026 7133368 10700052 21400104