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114505512 = 233111034211
BaseRepresentation
bin1101101001100…
…11011100101000
321222110111000220
412310303130220
5213303134022
615210130040
72560165212
oct664633450
9258414026
10114505512
11596a9760
1232420920
131a952054
14112c95b2
15a0bc85c
hex6d33728

114505512 has 64 divisors (see below), whose sum is σ = 315394560. Its totient is φ = 34353600.

The previous prime is 114505511. The next prime is 114505553. The reversal of 114505512 is 215505411.

It is a super-2 number, since 2×1145055122 = 26223024556764288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (114505511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25087 + ... + 29297.

It is an arithmetic number, because the mean of its divisors is an integer number (4928040).

Almost surely, 2114505512 is an apocalyptic number.

114505512 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 114505512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157697280).

114505512 is an abundant number, since it is smaller than the sum of its proper divisors (200889048).

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

114505512 is a wasteful number, since it uses less digits than its factorization.

114505512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 114505512 is about 10700.7248352623. The cubic root of 114505512 is about 485.5964066222.

The spelling of 114505512 in words is "one hundred fourteen million, five hundred five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 132 206 264 309 412 618 824 1133 1236 2266 2472 3399 4211 4532 6798 8422 9064 12633 13596 16844 25266 27192 33688 46321 50532 92642 101064 138963 185284 277926 370568 433733 555852 867466 1111704 1301199 1734932 2602398 3469864 4771063 5204796 9542126 10409592 14313189 19084252 28626378 38168504 57252756 114505512