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114026528 = 2572112601
BaseRepresentation
bin1101100101111…
…10100000100000
321221120010222202
412302332200200
5213142322103
615151552332
72553131600
oct662764040
9257503882
10114026528
1159401900
123222b6a8
131a815025
1411202c00
15a025988
hex6cbe820

114026528 has 108 divisors (see below), whose sum is σ = 287517006. Its totient is φ = 44352000.

The previous prime is 114026519. The next prime is 114026557. The reversal of 114026528 is 825620411.

It can be written as a sum of positive squares in only one way, i.e., 79780624 + 34245904 = 8932^2 + 5852^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 114026528.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 189428 + ... + 190028.

Almost surely, 2114026528 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 114026528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143758503).

114026528 is an abundant number, since it is smaller than the sum of its proper divisors (173490478).

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

114026528 is a wasteful number, since it uses less digits than its factorization.

114026528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 114026528 is about 10678.3204671896. The cubic root of 114026528 is about 484.9183665347.

Adding to 114026528 its reverse (825620411), we get a palindrome (939646939).

The spelling of 114026528 in words is "one hundred fourteen million, twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 121 154 176 196 224 242 308 352 392 484 539 601 616 784 847 968 1078 1202 1232 1568 1694 1936 2156 2404 2464 3388 3872 4207 4312 4808 5929 6611 6776 8414 8624 9616 11858 13222 13552 16828 17248 19232 23716 26444 27104 29449 33656 46277 47432 52888 58898 67312 72721 92554 94864 105776 117796 134624 145442 185108 189728 211552 235592 290884 323939 370216 471184 509047 581768 647878 740432 942368 1018094 1163536 1295756 1480864 2036188 2327072 2591512 3563329 4072376 5183024 7126658 8144752 10366048 14253316 16289504 28506632 57013264 114026528