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115212564 = 22331099787
BaseRepresentation
bin1101101111000…
…00000100010100
322000210101221000
412313200010110
5213443300224
615233223300
72566201455
oct667400424
9260711830
10115212564
115a0419a5
1232701b30
131ab3bb1c
141143112c
15a1ac0c9
hex6de0114

115212564 has 48 divisors (see below), whose sum is σ = 301470400. Its totient is φ = 38047968.

The previous prime is 115212533. The next prime is 115212569. The reversal of 115212564 is 465212511.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115212569) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6879 + ... + 16665.

Almost surely, 2115212564 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 115212564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150735200).

115212564 is an abundant number, since it is smaller than the sum of its proper divisors (186257836).

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

115212564 is a wasteful number, since it uses less digits than its factorization.

115212564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9909 (or 9901 counting only the distinct ones).

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

The square root of 115212564 is about 10733.7115668347. The cubic root of 115212564 is about 486.5938480736.

The spelling of 115212564 in words is "one hundred fifteen million, two hundred twelve thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 109 218 327 436 654 981 1308 1962 2943 3924 5886 9787 11772 19574 29361 39148 58722 88083 117444 176166 264249 352332 528498 1056996 1066783 2133566 3200349 4267132 6400698 9601047 12801396 19202094 28803141 38404188 57606282 115212564