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20958336 = 2732723113
BaseRepresentation
bin100111111110…
…0110010000000
31110102210102200
41033330302000
520331131321
62025113200
7343100010
oct117746200
943383380
1020958336
1110915343
127028800
13445a6a9
142ad7c40
151c8ed26
hex13fcc80

20958336 has 192 divisors, whose sum is σ = 72558720. Its totient is φ = 5677056.

The previous prime is 20958323. The next prime is 20958341. The reversal of 20958336 is 63385902.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20958336.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185416 + ... + 185528.

It is an arithmetic number, because the mean of its divisors is an integer number (377910).

Almost surely, 220958336 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 20958336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36279360).

20958336 is an abundant number, since it is smaller than the sum of its proper divisors (51600384).

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

20958336 is a wasteful number, since it uses less digits than its factorization.

20958336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 20958336 is about 4578.0275228530. The cubic root of 20958336 is about 275.7098399879.

The spelling of 20958336 in words is "twenty million, nine hundred fifty-eight thousand, three hundred thirty-six".