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20131146 = 2337192803
BaseRepresentation
bin100110011001…
…0110101001010
31101212202202000
41030302311022
520123144041
61555251430
7333053250
oct114626512
941782660
1020131146
11103aa912
1268a9b76
13422b029
1429605d0
151b79bb6
hex1332d4a

20131146 has 64 divisors (see below), whose sum is σ = 53836800. Its totient is φ = 5447088.

The previous prime is 20131129. The next prime is 20131147. The reversal of 20131146 is 64113102.

It is a happy number.

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 (20131147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5781 + ... + 8583.

It is an arithmetic number, because the mean of its divisors is an integer number (841200).

Almost surely, 220131146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20131146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26918400).

20131146 is an abundant number, since it is smaller than the sum of its proper divisors (33705654).

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

20131146 is a wasteful number, since it uses less digits than its factorization.

20131146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2834 counting only the distinct ones).

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

The square root of 20131146 is about 4486.7745653197. The cubic root of 20131146 is about 272.0337778842.

Adding to 20131146 its reverse (64113102), we get a palindrome (84244248).

The spelling of 20131146 in words is "twenty million, one hundred thirty-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 2394 2803 3591 5606 7182 8409 16818 19621 25227 39242 50454 53257 58863 75681 106514 117726 151362 159771 176589 319542 353178 372799 479313 529767 745598 958626 1059534 1118397 1437939 2236794 2875878 3355191 6710382 10065573 20131146