Search a number
-
+
20131356 = 223736773
BaseRepresentation
bin100110011001…
…0111000011100
31101212210000210
41030302320130
520123200411
61555252420
7333054000
oct114627034
941783023
1020131356
11103aaa93
1268aa110
13422b15b
142960700
151b79ca6
hex1332e1c

20131356 has 96 divisors (see below), whose sum is σ = 56358400. Its totient is φ = 5588352.

The previous prime is 20131339. The next prime is 20131373. The reversal of 20131356 is 65313102.

It is an interprime number because it is at equal distance from previous prime (20131339) and next prime (20131373).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275736 + ... + 275808.

Almost surely, 220131356 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 20131356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28179200).

20131356 is an abundant number, since it is smaller than the sum of its proper divisors (36227044).

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

20131356 is a wasteful number, since it uses less digits than its factorization.

20131356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 20131356 is about 4486.7979673705. The cubic root of 20131356 is about 272.0347237965.

Adding to 20131356 its reverse (65313102), we get a palindrome (85444458).

The spelling of 20131356 in words is "twenty million, one hundred thirty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 67 73 84 98 134 146 147 196 201 219 268 292 294 343 402 438 469 511 588 686 804 876 938 1022 1029 1372 1407 1533 1876 2044 2058 2814 3066 3283 3577 4116 4891 5628 6132 6566 7154 9782 9849 10731 13132 14308 14673 19564 19698 21462 22981 25039 29346 34237 39396 42924 45962 50078 58692 68474 68943 75117 91924 100156 102711 136948 137886 150234 205422 239659 275772 300468 410844 479318 718977 958636 1437954 1677613 2875908 3355226 5032839 6710452 10065678 20131356