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20301138 = 23311213239
BaseRepresentation
bin100110101110…
…0010101010010
31102012101221000
41031130111102
520144114023
62003042430
7334361664
oct115342522
942171830
1020301138
1110506600
126970416
13428a510
1429a6534
151bb0243
hex135c552

20301138 has 96 divisors (see below), whose sum is σ = 53625600. Its totient is φ = 5654880.

The previous prime is 20301137. The next prime is 20301181. The reversal of 20301138 is 83110302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 20301138.

It is not an unprimeable number, because it can be changed into a prime (20301137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84823 + ... + 85061.

It is an arithmetic number, because the mean of its divisors is an integer number (558600).

Almost surely, 220301138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20301138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26812800).

20301138 is an abundant number, since it is smaller than the sum of its proper divisors (33324462).

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

20301138 is a wasteful number, since it uses less digits than its factorization.

20301138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 20301138 is about 4505.6784172863. The cubic root of 20301138 is about 272.7973378165.

The spelling of 20301138 in words is "twenty million, three hundred one thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 121 143 198 234 239 242 286 297 351 363 429 478 594 702 717 726 858 1089 1287 1434 1573 2151 2178 2574 2629 3107 3146 3267 3861 4302 4719 5258 6214 6453 6534 7722 7887 9321 9438 12906 14157 15774 18642 23661 27963 28314 28919 34177 42471 47322 55926 57838 68354 70983 83889 84942 86757 102531 141966 167778 173514 205062 260271 307593 375947 520542 615186 751894 780813 922779 1127841 1561626 1845558 2255682 3383523 6767046 10150569 20301138