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131412534 = 23112315839
BaseRepresentation
bin1111101010100…
…11001000110110
3100011021110002220
413311103020312
5232120200114
621012343210
73153662631
oct765231066
9304243086
10131412534
11681a7200
1238014b06
13212c16c6
141364ac18
15b80c0a9
hex7d53236

131412534 has 48 divisors (see below), whose sum is σ = 298260480. Its totient is φ = 38530800.

The previous prime is 131412521. The next prime is 131412557. The reversal of 131412534 is 435214131.

It is a happy number.

131412534 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19587 + ... + 25425.

It is an arithmetic number, because the mean of its divisors is an integer number (6213760).

Almost surely, 2131412534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131412534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149130240).

131412534 is an abundant number, since it is smaller than the sum of its proper divisors (166847946).

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

131412534 is a wasteful number, since it uses less digits than its factorization.

131412534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5886 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 131412534 is about 11463.5306079759. The cubic root of 131412534 is about 508.4078683385.

Adding to 131412534 its reverse (435214131), we get a palindrome (566626665).

The spelling of 131412534 in words is "one hundred thirty-one million, four hundred twelve thousand, five hundred thirty-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 682 726 1023 2046 3751 5839 7502 11253 11678 17517 22506 35034 64229 128458 181009 192687 362018 385374 543027 706519 1086054 1413038 1991099 2119557 3982198 4239114 5973297 11946594 21902089 43804178 65706267 131412534