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114110528 = 2671714983
BaseRepresentation
bin1101100110100…
…11000001000000
321221201102012212
412303103001000
5213203014103
615153441252
72553631520
oct663230100
9257642185
10114110528
1159459a24
1232270228
131a84432c
1411225680
15a0407d8
hex6cd3040

114110528 has 56 divisors (see below), whose sum is σ = 274027392. Its totient is φ = 46024704.

The previous prime is 114110527. The next prime is 114110533. The reversal of 114110528 is 825011411.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (114110527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125 + ... + 15107.

Almost surely, 2114110528 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 114110528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137013696).

114110528 is an abundant number, since it is smaller than the sum of its proper divisors (159916864).

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

114110528 is a wasteful number, since it uses less digits than its factorization.

114110528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15019 (or 15009 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 23.

The square root of 114110528 is about 10682.2529458911. The cubic root of 114110528 is about 485.0374123547.

Adding to 114110528 its reverse (825011411), we get a palindrome (939121939).

The spelling of 114110528 in words is "one hundred fourteen million, one hundred ten thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7616 14983 29966 59932 104881 119864 209762 239728 254711 419524 479456 509422 839048 958912 1018844 1678096 1782977 2037688 3356192 3565954 4075376 6712384 7131908 8150752 14263816 16301504 28527632 57055264 114110528