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114081136 = 24133311657
BaseRepresentation
bin1101100110010…
…11110101110000
321221122220220021
412303023311300
5213201044021
615153053224
72553450031
oct663136560
9257586807
10114081136
1159439934
1232257214
131a833b40
1411218a88
15a036c41
hex6ccbd70

114081136 has 40 divisors (see below), whose sum is σ = 238897904. Its totient is φ = 52462080.

The previous prime is 114081131. The next prime is 114081137. The reversal of 114081136 is 631180411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114081136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114081131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68020 + ... + 69676.

Almost surely, 2114081136 is an apocalyptic number.

114081136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114081136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119448952).

114081136 is an abundant number, since it is smaller than the sum of its proper divisors (124816768).

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

114081136 is a wasteful number, since it uses less digits than its factorization.

114081136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 114081136 is about 10680.8771175405. The cubic root of 114081136 is about 484.9957643021.

It can be divided in two parts, 11408 and 1136, that added together give a square (12544 = 1122).

The spelling of 114081136 in words is "one hundred fourteen million, eighty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 331 662 1324 1657 2648 3314 4303 5296 6628 8606 13256 17212 21541 26512 34424 43082 68848 86164 172328 344656 548467 1096934 2193868 4387736 7130071 8775472 14260142 28520284 57040568 114081136