Search a number
-
+
115052832 = 2533375961
BaseRepresentation
bin1101101101110…
…01000100100000
322000111021211000
412312321010200
5213423142312
615225552000
72564634666
oct666710440
9260437730
10115052832
1159a42994
1232645600
131aab41cb
14113ccc36
15a179adc
hex6db9120

115052832 has 192 divisors, whose sum is σ = 356227200. Its totient is φ = 36080640.

The previous prime is 115052783. The next prime is 115052843. The reversal of 115052832 is 238250511.

It is a happy number.

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 = 115052796 and 115052805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1886082 + ... + 1886142.

It is an arithmetic number, because the mean of its divisors is an integer number (1855350).

Almost surely, 2115052832 is an apocalyptic number.

115052832 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 115052832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178113600).

115052832 is an abundant number, since it is smaller than the sum of its proper divisors (241174368).

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

115052832 is a wasteful number, since it uses less digits than its factorization.

115052832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 115052832 is about 10726.2683166141. The cubic root of 115052832 is about 486.3688710024.

The spelling of 115052832 in words is "one hundred fifteen million, fifty-two thousand, eight hundred thirty-two".