Search a number
-
+
20201274 = 2323141883
BaseRepresentation
bin100110100001…
…1111100111010
31102000022221100
41031003330322
520132420044
62000552230
7333464562
oct115037472
942008840
1020201274
1110448575
126922676
134253c22
14297bda2
151b90869
hex1343f3a

20201274 has 48 divisors (see below), whose sum is σ = 46335744. Its totient is φ = 6350400.

The previous prime is 20201273. The next prime is 20201303. The reversal of 20201274 is 47210202.

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

It is not an unprimeable number, because it can be changed into a prime (20201273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22437 + ... + 23319.

It is an arithmetic number, because the mean of its divisors is an integer number (965328).

Almost surely, 220201274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20201274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23167872).

20201274 is an abundant number, since it is smaller than the sum of its proper divisors (26134470).

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

20201274 is a wasteful number, since it uses less digits than its factorization.

20201274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 20201274 is about 4494.5827392540. The cubic root of 20201274 is about 272.3492935432.

Adding to 20201274 its reverse (47210202), we get a palindrome (67411476).

The spelling of 20201274 in words is "twenty million, two hundred one thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 31 41 62 82 93 123 186 246 279 369 558 738 883 1271 1766 2542 2649 3813 5298 7626 7947 11439 15894 22878 27373 36203 54746 72406 82119 108609 164238 217218 246357 325827 492714 651654 1122293 2244586 3366879 6733758 10100637 20201274