Search a number
-
+
115843416 = 233136
BaseRepresentation
bin1101110011110…
…10000101011000
322001222110021220
412321322011120
5214123442131
615254532040
72604436623
oct671720530
9261873256
10115843416
115a432967
1232967020
131b000000
1411556dba
15a283e96
hex6e7a158

115843416 has 56 divisors (see below), whose sum is σ = 313742580. Its totient is φ = 35644128.

The previous prime is 115843393. The next prime is 115843417. The reversal of 115843416 is 614348511.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=338.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

Its product of digits (11520) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115843417) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 8911026 + ... + 8911038.

Almost surely, 2115843416 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 115843416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156871290).

115843416 is an abundant number, since it is smaller than the sum of its proper divisors (197899164).

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

115843416 is an frugal number, since it uses more digits than its factorization.

115843416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 18 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 115843416 is about 10763.0579297893. The cubic root of 115843416 is about 487.4803547639.

The spelling of 115843416 in words is "one hundred fifteen million, eight hundred forty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 2197 4056 4394 6591 8788 13182 17576 26364 28561 52728 57122 85683 114244 171366 228488 342732 371293 685464 742586 1113879 1485172 2227758 2970344 4455516 4826809 8911032 9653618 14480427 19307236 28960854 38614472 57921708 115843416