Search a number
-
+
115254072 = 233215110601
BaseRepresentation
bin1101101111010…
…10001100111000
322000212111212100
412313222030320
5214001112242
615234143400
72566433463
oct667521470
9260774770
10115254072
115a0700aa
1232721b60
131ab5499b
14114422da
15a1b954c
hex6dea338

115254072 has 48 divisors (see below), whose sum is σ = 314243280. Its totient is φ = 38160000.

The previous prime is 115254053. The next prime is 115254077. The reversal of 115254072 is 270452511.

115254072 is a `hidden beast` number, since 1 + 1 + 52 + 540 + 72 = 666.

It is a super-2 number, since 2×1152540722 = 26567002225162368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115254077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5572 + ... + 16172.

It is an arithmetic number, because the mean of its divisors is an integer number (6546735).

Almost surely, 2115254072 is an apocalyptic number.

115254072 is a gapful number since it is divisible by the number (12) 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 115254072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157121640).

115254072 is an abundant number, since it is smaller than the sum of its proper divisors (198989208).

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

115254072 is a wasteful number, since it uses less digits than its factorization.

115254072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10764 (or 10757 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 115254072 is about 10735.6449270642. The cubic root of 115254072 is about 486.6522766330.

The spelling of 115254072 in words is "one hundred fifteen million, two hundred fifty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 604 906 1208 1359 1812 2718 3624 5436 10601 10872 21202 31803 42404 63606 84808 95409 127212 190818 254424 381636 763272 1600751 3201502 4802253 6403004 9604506 12806008 14406759 19209012 28813518 38418024 57627036 115254072