Search a number
-
+
116612034 = 237111731459
BaseRepresentation
bin1101111001101…
…01101111000010
322010102111122020
412330311233002
5214323041114
615323222310
72614120530
oct674655702
9263374566
10116612034
115a908390
1233077996
131b20bb06
14116b7150
15a386aa9
hex6f35bc2

116612034 has 64 divisors (see below), whose sum is σ = 292654080. Its totient is φ = 30093120.

The previous prime is 116612021. The next prime is 116612039. The reversal of 116612034 is 430216611.

It is a junction number, because it is equal to n+sod(n) for n = 116611995 and 116612013.

It is not an unprimeable number, because it can be changed into a prime (116612039) 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, 79197 + ... + 80655.

It is an arithmetic number, because the mean of its divisors is an integer number (4572720).

Almost surely, 2116612034 is an apocalyptic number.

116612034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116612034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146327040).

116612034 is an abundant number, since it is smaller than the sum of its proper divisors (176042046).

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

116612034 is a wasteful number, since it uses less digits than its factorization.

116612034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 116612034 is about 10798.7052001617. The cubic root of 116612034 is about 488.5561187902.

Adding to 116612034 its reverse (430216611), we get a palindrome (546828645).

It can be divided in two parts, 11661 and 2034, that added together give a triangular number (13695 = T165).

The spelling of 116612034 in words is "one hundred sixteen million, six hundred twelve thousand, thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 173 231 346 462 519 1038 1211 1459 1903 2422 2918 3633 3806 4377 5709 7266 8754 10213 11418 13321 16049 20426 26642 30639 32098 39963 48147 61278 79926 96294 112343 224686 252407 337029 504814 674058 757221 1514442 1766849 2776477 3533698 5300547 5552954 8329431 10601094 16658862 19435339 38870678 58306017 116612034