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21303408 = 2437194771
BaseRepresentation
bin101000101000…
…1000001110000
31111002022210010
41101101001300
520423202113
62040334520
7346035030
oct121210160
944068703
1021303408
1111030625
127174440
13454b789
142b878c0
151d0c1c3
hex1451070

21303408 has 160 divisors (see below), whose sum is σ = 68567040. Its totient is φ = 5564160.

The previous prime is 21303407. The next prime is 21303409. The reversal of 21303408 is 80430312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21303407) and next prime (21303409).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21303407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300013 + ... + 300083.

It is an arithmetic number, because the mean of its divisors is an integer number (428544).

Almost surely, 221303408 is an apocalyptic number.

21303408 is a gapful number since it is divisible by the number (28) 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 21303408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34283520).

21303408 is an abundant number, since it is smaller than the sum of its proper divisors (47263632).

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

21303408 is a wasteful number, since it uses less digits than its factorization.

21303408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 21303408 is about 4615.5615043026. The cubic root of 21303408 is about 277.2147673856.

The spelling of 21303408 in words is "twenty-one million, three hundred three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 47 48 56 57 71 76 84 94 112 114 133 141 142 152 168 188 213 228 266 282 284 304 329 336 376 399 426 456 497 532 564 568 658 752 798 852 893 912 987 994 1064 1128 1136 1316 1349 1491 1596 1704 1786 1974 1988 2128 2256 2632 2679 2698 2982 3192 3337 3408 3572 3948 3976 4047 5264 5358 5396 5964 6251 6384 6674 7144 7896 7952 8094 9443 10011 10716 10792 11928 12502 13348 14288 15792 16188 18753 18886 20022 21432 21584 23359 23856 25004 26696 28329 32376 37506 37772 40044 42864 46718 50008 53392 56658 63403 64752 70077 75012 75544 80088 93436 100016 113316 126806 140154 150024 151088 160176 186872 190209 226632 253612 280308 300048 373744 380418 443821 453264 507224 560616 760836 887642 1014448 1121232 1331463 1521672 1775284 2662926 3043344 3550568 5325852 7101136 10651704 21303408