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114647568 = 2437834111
BaseRepresentation
bin1101101010101…
…10001000010000
321222201200220020
412311112020100
5213322210233
615213143440
72561326320
oct665261020
9258650806
10114647568
1159796462
123248ab80
131a9a18c9
1411325280
15a0e99b3
hex6d56210

114647568 has 80 divisors (see below), whose sum is σ = 342644736. Its totient is φ = 32353920.

The previous prime is 114647567. The next prime is 114647573. The reversal of 114647568 is 865746411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (114647563) 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, 25833 + ... + 29943.

Almost surely, 2114647568 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 114647568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171322368).

114647568 is an abundant number, since it is smaller than the sum of its proper divisors (227997168).

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

114647568 is a wasteful number, since it uses less digits than its factorization.

114647568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212 (or 4206 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 114647568 is about 10707.3604590487. The cubic root of 114647568 is about 485.7971345906.

The spelling of 114647568 in words is "one hundred fourteen million, six hundred forty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 249 332 336 498 581 664 996 1162 1328 1743 1992 2324 3486 3984 4111 4648 6972 8222 9296 12333 13944 16444 24666 27888 28777 32888 49332 57554 65776 86331 98664 115108 172662 197328 230216 341213 345324 460432 682426 690648 1023639 1364852 1381296 2047278 2388491 2729704 4094556 4776982 5459408 7165473 8189112 9553964 14330946 16378224 19107928 28661892 38215856 57323784 114647568