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20131410 = 23513411259
BaseRepresentation
bin100110011001…
…0111001010010
31101212210002210
41030302321102
520123201120
61555252550
7333054105
oct114627122
941783083
1020131410
1110400032
1268aa156
13422b1a0
14296073c
151b79ce0
hex1332e52

20131410 has 64 divisors (see below), whose sum is σ = 53343360. Its totient is φ = 4830720.

The previous prime is 20131399. The next prime is 20131427. The reversal of 20131410 is 1413102.

It is a happy number.

It is a Curzon 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, 15361 + ... + 16619.

It is an arithmetic number, because the mean of its divisors is an integer number (833490).

Almost surely, 220131410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20131410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26671680).

20131410 is an abundant number, since it is smaller than the sum of its proper divisors (33211950).

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

20131410 is a wasteful number, since it uses less digits than its factorization.

20131410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 20131410 is about 4486.8039850210. The cubic root of 20131410 is about 272.0349670300.

Adding to 20131410 its reverse (1413102), we get a palindrome (21544512).

The spelling of 20131410 in words is "twenty million, one hundred thirty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 123 130 195 205 246 390 410 533 615 1066 1230 1259 1599 2518 2665 3198 3777 5330 6295 7554 7995 12590 15990 16367 18885 32734 37770 49101 51619 81835 98202 103238 154857 163670 245505 258095 309714 491010 516190 671047 774285 1342094 1548570 2013141 3355235 4026282 6710470 10065705 20131410