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21410816 = 210729103
BaseRepresentation
bin101000110101…
…1010000000000
31111021210010012
41101223100000
520440121231
62042524052
7346663130
oct121532000
944253105
1021410816
11110a4299
127206628
13458862b
142bb4ac0
151d2de2b
hex146b400

21410816 has 88 divisors (see below), whose sum is σ = 51093120. Its totient is φ = 8773632.

The previous prime is 21410791. The next prime is 21410833. The reversal of 21410816 is 61801412.

It is a junction number, because it is equal to n+sod(n) for n = 21410791 and 21410800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207821 + ... + 207923.

Almost surely, 221410816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21410816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25546560).

21410816 is an abundant number, since it is smaller than the sum of its proper divisors (29682304).

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

21410816 is a wasteful number, since it uses less digits than its factorization.

21410816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 21410816 is about 4627.1822959551. The cubic root of 21410816 is about 277.6798758040.

The spelling of 21410816 in words is "twenty-one million, four hundred ten thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 103 112 116 128 203 206 224 232 256 406 412 448 464 512 721 812 824 896 928 1024 1442 1624 1648 1792 1856 2884 2987 3248 3296 3584 3712 5768 5974 6496 6592 7168 7424 11536 11948 12992 13184 14848 20909 23072 23896 25984 26368 29696 41818 46144 47792 51968 52736 83636 92288 95584 103936 105472 167272 184576 191168 207872 334544 369152 382336 669088 738304 764672 1338176 1529344 2676352 3058688 5352704 10705408 21410816