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21106410 = 23513223181
BaseRepresentation
bin101000010000…
…0111011101010
31110201022112220
41100200323222
520400401120
62032214510
7344254503
oct120407352
943638486
1021106410
1110a06616
12709a436
1344acc00
142b35baa
151cbdb40
hex1420eea

21106410 has 96 divisors (see below), whose sum is σ = 57552768. Its totient is φ = 4942080.

The previous prime is 21106399. The next prime is 21106411. The reversal of 21106410 is 1460112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21106410.

It is not an unprimeable number, because it can be changed into a prime (21106411) by changing a digit.

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, 116520 + ... + 116700.

It is an arithmetic number, because the mean of its divisors is an integer number (599508).

Almost surely, 221106410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21106410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28776384).

21106410 is an abundant number, since it is smaller than the sum of its proper divisors (36446358).

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

21106410 is a wasteful number, since it uses less digits than its factorization.

21106410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 21106410 is about 4594.1713072109. The cubic root of 21106410 is about 276.3576281890.

Adding to 21106410 its reverse (1460112), we get a palindrome (22566522).

The spelling of 21106410 in words is "twenty-one million, one hundred six thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 169 181 195 230 299 338 345 362 390 507 543 598 690 845 897 905 1014 1086 1495 1690 1794 1810 2353 2535 2715 2990 3887 4163 4485 4706 5070 5430 7059 7774 8326 8970 11661 11765 12489 14118 19435 20815 23322 23530 24978 30589 35295 38870 41630 54119 58305 61178 62445 70590 91767 108238 116610 124890 152945 162357 183534 270595 305890 324714 458835 541190 703547 811785 917670 1407094 1623570 2110641 3517735 4221282 7035470 10553205 21106410