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114136116 = 223194710651
BaseRepresentation
bin1101100110110…
…01010000110100
321221202201022120
412303121100310
5213204323431
615154155540
72554066233
oct663312064
9257681276
10114136116
1159477176
1232282bb0
131a852b83
1411230b1a
15a048196
hex6cd9434

114136116 has 48 divisors (see below), whose sum is σ = 286325760. Its totient is φ = 35272800.

The previous prime is 114136093. The next prime is 114136133. The reversal of 114136116 is 611631411.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5391 + ... + 16041.

It is an arithmetic number, because the mean of its divisors is an integer number (5965120).

Almost surely, 2114136116 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 114136116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143162880).

114136116 is an abundant number, since it is smaller than the sum of its proper divisors (172189644).

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

114136116 is a wasteful number, since it uses less digits than its factorization.

114136116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10724 (or 10722 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 114136116 is about 10683.4505661794. The cubic root of 114136116 is about 485.0736643698.

Adding to 114136116 its reverse (611631411), we get a palindrome (725767527).

The spelling of 114136116 in words is "one hundred fourteen million, one hundred thirty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 19 38 47 57 76 94 114 141 188 228 282 564 893 1786 2679 3572 5358 10651 10716 21302 31953 42604 63906 127812 202369 404738 500597 607107 809476 1001194 1214214 1501791 2002388 2428428 3003582 6007164 9511343 19022686 28534029 38045372 57068058 114136116