Search a number
-
+
114355836 = 223271014493
BaseRepresentation
bin1101101000011…
…10111001111100
321222011212201100
412310032321330
5213233341321
615203013100
72556002640
oct664167174
9258155640
10114355836
1159607261
123236a190
131a8cbb9a
141128ac20
15a08d326
hex6d0ee7c

114355836 has 72 divisors (see below), whose sum is σ = 333706464. Its totient is φ = 32342400.

The previous prime is 114355831. The next prime is 114355837. The reversal of 114355836 is 638553411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114355836.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114355831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23206 + ... + 27698.

It is an arithmetic number, because the mean of its divisors is an integer number (4634812).

Almost surely, 2114355836 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 114355836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166853232).

114355836 is an abundant number, since it is smaller than the sum of its proper divisors (219350628).

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

114355836 is a wasteful number, since it uses less digits than its factorization.

114355836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4611 (or 4606 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 114355836 is about 10693.7288164606. The cubic root of 114355836 is about 485.3847317478.

It can be divided in two parts, 11435 and 5836, that added together give a palindrome (17271).

The spelling of 114355836 in words is "one hundred fourteen million, three hundred fifty-five thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 202 252 303 404 606 707 909 1212 1414 1818 2121 2828 3636 4242 4493 6363 8484 8986 12726 13479 17972 25452 26958 31451 40437 53916 62902 80874 94353 125804 161748 188706 283059 377412 453793 566118 907586 1132236 1361379 1815172 2722758 3176551 4084137 5445516 6353102 8168274 9529653 12706204 16336548 19059306 28588959 38118612 57177918 114355836