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20419506 = 233616199
BaseRepresentation
bin100110111100…
…1001110110010
31102102102022000
41031321032302
520211411011
62005354430
7335364042
oct115711662
942372260
1020419506
1110587528
126a08a16
1342cc363
1429d7722
151bd5356
hex13793b2

20419506 has 32 divisors (see below), whose sum is σ = 46128000. Its totient is φ = 6693840.

The previous prime is 20419501. The next prime is 20419519. The reversal of 20419506 is 60591402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20419506.

It is not an unprimeable number, because it can be changed into a prime (20419501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195 + ... + 6393.

It is an arithmetic number, because the mean of its divisors is an integer number (1441500).

Almost surely, 220419506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20419506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23064000).

20419506 is an abundant number, since it is smaller than the sum of its proper divisors (25708494).

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

20419506 is a wasteful number, since it uses less digits than its factorization.

20419506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6271 (or 6265 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 20419506 is about 4518.7947508158. The cubic root of 20419506 is about 273.3265022419.

The spelling of 20419506 in words is "twenty million, four hundred nineteen thousand, five hundred six".

Divisors: 1 2 3 6 9 18 27 54 61 122 183 366 549 1098 1647 3294 6199 12398 18597 37194 55791 111582 167373 334746 378139 756278 1134417 2268834 3403251 6806502 10209753 20419506