Search a number
-
+
114889736 = 23133773409
BaseRepresentation
bin1101101100100…
…01010000001000
322000012000002102
412312101100020
5213402432421
615222252532
72563355333
oct666212010
9260160072
10114889736
11599413a5
1232587148
131aa57bc0
141138961a
15a14660b
hex6d91408

114889736 has 64 divisors (see below), whose sum is σ = 242113200. Its totient is φ = 50761728.

The previous prime is 114889651. The next prime is 114889739. The reversal of 114889736 is 637988411.

It can be written as a sum of positive squares in 8 ways, for example, as 90820900 + 24068836 = 9530^2 + 4906^2 .

It is not an unprimeable number, because it can be changed into a prime (114889739) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280700 + ... + 281108.

Almost surely, 2114889736 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 114889736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121056600).

114889736 is an abundant number, since it is smaller than the sum of its proper divisors (127223464).

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

114889736 is a wasteful number, since it uses less digits than its factorization.

114889736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 534 counting only the distinct ones).

The product of its digits is 290304, while the sum is 47.

The square root of 114889736 is about 10718.6629763231. The cubic root of 114889736 is about 486.1389408955.

The spelling of 114889736 in words is "one hundred fourteen million, eight hundred eighty-nine thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 26 37 52 73 74 104 146 148 292 296 409 481 584 818 949 962 1636 1898 1924 2701 3272 3796 3848 5317 5402 7592 10634 10804 15133 21268 21608 29857 30266 35113 42536 59714 60532 70226 119428 121064 140452 196729 238856 280904 388141 393458 776282 786916 1104709 1552564 1573832 2209418 3105128 4418836 8837672 14361217 28722434 57444868 114889736