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21059104 = 2511292063
BaseRepresentation
bin101000001010…
…1011000100000
31110121220122211
41100111120200
520342342404
62031211504
7343666543
oct120253040
943556584
1021059104
1110984020
127076b94
134494511
142b2285a
151caeb04
hex1415620

21059104 has 48 divisors (see below), whose sum is σ = 46811520. Its totient is φ = 9237760.

The previous prime is 21059089. The next prime is 21059119. The reversal of 21059104 is 40195012.

21059104 = T192 + T193 + ... + T510.

It is an interprime number because it is at equal distance from previous prime (21059089) and next prime (21059119).

It is a super-2 number, since 2×210591042 = 886971722565632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 9177 + ... + 11239.

It is an arithmetic number, because the mean of its divisors is an integer number (975240).

Almost surely, 221059104 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 21059104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23405760).

21059104 is an abundant number, since it is smaller than the sum of its proper divisors (25752416).

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

21059104 is a wasteful number, since it uses less digits than its factorization.

21059104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 21059104 is about 4589.0199389412. The cubic root of 21059104 is about 276.1510060728.

The spelling of 21059104 in words is "twenty-one million, fifty-nine thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1276 2063 2552 4126 5104 8252 10208 16504 22693 33008 45386 59827 66016 90772 119654 181544 239308 363088 478616 658097 726176 957232 1316194 1914464 2632388 5264776 10529552 21059104