Search a number
-
+
115212820 = 22537155693
BaseRepresentation
bin1101101111000…
…00001000010100
322000210102021111
412313200020110
5213443302240
615233224404
72566202302
oct667401024
9260712244
10115212820
115a042108
1232702104
131ab3bc88
1411431272
15a1ac1ea
hex6de0214

115212820 has 24 divisors (see below), whose sum is σ = 248487624. Its totient is φ = 44839296.

The previous prime is 115212803. The next prime is 115212847. The reversal of 115212820 is 28212511.

It can be written as a sum of positive squares in 4 ways, for example, as 29724304 + 85488516 = 5452^2 + 9246^2 .

It is a junction number, because it is equal to n+sod(n) for n = 115212791 and 115212800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77107 + ... + 78586.

It is an arithmetic number, because the mean of its divisors is an integer number (10353651).

Almost surely, 2115212820 is an apocalyptic number.

115212820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115212820 is an abundant number, since it is smaller than the sum of its proper divisors (133274804).

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

115212820 is a wasteful number, since it uses less digits than its factorization.

115212820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155739 (or 155737 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 115212820 is about 10733.7234918736. The cubic root of 115212820 is about 486.5942084740.

It can be divided in two parts, 11521 and 2820, that added together give a palindrome (14341).

The spelling of 115212820 in words is "one hundred fifteen million, two hundred twelve thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 155693 311386 622772 778465 1556930 3113860 5760641 11521282 23042564 28803205 57606410 115212820