Search a number
-
+
115143264 = 25321732311
BaseRepresentation
bin1101101110011…
…11001001100000
322000122212212100
412313033021200
5213434041024
615231530400
72565462435
oct667171140
9260585770
10115143264
1159aa4925
1232689a00
131ab16412
1411413b8c
15a1967c9
hex6dcf260

115143264 has 72 divisors (see below), whose sum is σ = 329473872. Its totient is φ = 38142720.

The previous prime is 115143257. The next prime is 115143277. The reversal of 115143264 is 462341511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48669 + ... + 50979.

It is an arithmetic number, because the mean of its divisors is an integer number (4576026).

Almost surely, 2115143264 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 115143264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164736936).

115143264 is an abundant number, since it is smaller than the sum of its proper divisors (214330608).

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

115143264 is a wasteful number, since it uses less digits than its factorization.

115143264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2489 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 115143264 is about 10730.4829341461. The cubic root of 115143264 is about 486.4962669425.

Adding to 115143264 its reverse (462341511), we get a palindrome (577484775).

The spelling of 115143264 in words is "one hundred fifteen million, one hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 173 288 346 519 692 1038 1384 1557 2076 2311 2768 3114 4152 4622 5536 6228 6933 8304 9244 12456 13866 16608 18488 20799 24912 27732 36976 41598 49824 55464 73952 83196 110928 166392 221856 332784 399803 665568 799606 1199409 1599212 2398818 3198424 3598227 4797636 6396848 7196454 9595272 12793696 14392908 19190544 28785816 38381088 57571632 115143264