Search a number
-
+
115045434 = 235724831
BaseRepresentation
bin1101101101101…
…11010000111010
322000110220200000
412312313100322
5213422423214
615225453430
72564604300
oct666672072
9260426600
10115045434
1159a38379
1232641276
131aab0a2a
14113ca270
15a177809
hex6db743a

115045434 has 72 divisors (see below), whose sum is σ = 300763008. Its totient is φ = 32863320.

The previous prime is 115045417. The next prime is 115045453. The reversal of 115045434 is 434540511.

It is a happy number.

115045434 is a `hidden beast` number, since 115 + 0 + 4 + 543 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 115045398 and 115045407.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21399 + ... + 26229.

It is an arithmetic number, because the mean of its divisors is an integer number (4177264).

Almost surely, 2115045434 is an apocalyptic number.

115045434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115045434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150381504).

115045434 is an abundant number, since it is smaller than the sum of its proper divisors (185717574).

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

115045434 is an equidigital number, since it uses as much as digits as its factorization.

115045434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4862 (or 4843 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 115045434 is about 10725.9234567472. The cubic root of 115045434 is about 486.3584461278.

Adding to 115045434 its reverse (434540511), we get a palindrome (549585945).

The spelling of 115045434 in words is "one hundred fifteen million, forty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 882 1134 1323 1701 2646 3402 3969 4831 7938 9662 11907 14493 23814 28986 33817 43479 67634 86958 101451 130437 202902 236719 260874 304353 391311 473438 608706 710157 782622 913059 1173933 1420314 1826118 2130471 2347866 2739177 4260942 5478354 6391413 8217531 12782826 16435062 19174239 38348478 57522717 115045434