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20993104 = 2411181659
BaseRepresentation
bin101000000010…
…1010001010000
31110111120010101
41100011101100
520333234404
62025542144
7343303246
oct120052120
943446111
1020993104
1110939480
127044954
134470472
142b06796
151c9a2a4
hex1405450

20993104 has 40 divisors (see below), whose sum is σ = 44684640. Its totient is φ = 9475200.

The previous prime is 20993087. The next prime is 20993111. The reversal of 20993104 is 40139902.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31527 + ... + 32185.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116).

Almost surely, 220993104 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 20993104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22342320).

20993104 is an abundant number, since it is smaller than the sum of its proper divisors (23691536).

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

20993104 is a wasteful number, since it uses less digits than its factorization.

20993104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 20993104 is about 4581.8232178905. The cubic root of 20993104 is about 275.8622150603.

The spelling of 20993104 in words is "twenty million, nine hundred ninety-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 181 362 659 724 1318 1448 1991 2636 2896 3982 5272 7249 7964 10544 14498 15928 28996 31856 57992 115984 119279 238558 477116 954232 1312069 1908464 2624138 5248276 10496552 20993104