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21400110 = 23251771197
BaseRepresentation
bin101000110100…
…0101000101110
31111021020102200
41101220220232
520434300420
62042402330
7346616664
oct121505056
944236380
1021400110
1111097246
1272003a6
1345837b4
142bb0c34
151d2ab90
hex1468a2e

21400110 has 96 divisors (see below), whose sum is σ = 60046272. Its totient is φ = 5268480.

The previous prime is 21400109. The next prime is 21400121. The reversal of 21400110 is 1100412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21400092 and 21400101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108532 + ... + 108728.

It is an arithmetic number, because the mean of its divisors is an integer number (625482).

Almost surely, 221400110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21400110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30023136).

21400110 is an abundant number, since it is smaller than the sum of its proper divisors (38646162).

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

21400110 is a wasteful number, since it uses less digits than its factorization.

21400110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 21400110 is about 4626.0252917597. The cubic root of 21400110 is about 277.6335855491.

Adding to 21400110 its reverse (1100412), we get a palindrome (22500522).

The spelling of 21400110 in words is "twenty-one million, four hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 71 85 90 102 142 153 170 197 213 255 306 355 394 426 510 591 639 710 765 985 1065 1182 1207 1278 1530 1773 1970 2130 2414 2955 3195 3349 3546 3621 5910 6035 6390 6698 7242 8865 10047 10863 12070 13987 16745 17730 18105 20094 21726 27974 30141 33490 36210 41961 50235 54315 60282 69935 83922 100470 108630 125883 139870 150705 209805 237779 251766 301410 419610 475558 629415 713337 1188895 1258830 1426674 2140011 2377790 3566685 4280022 7133370 10700055 21400110