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114808560 = 2435736553
BaseRepresentation
bin1101101011111…
…01011011110000
322000000212201220
412311331123300
5213342333220
615220425040
72562566556
oct665753360
9260025656
10114808560
1159896409
1232548180
131aa29c79
1411367bd6
15a12c540
hex6d7d6f0

114808560 has 80 divisors (see below), whose sum is σ = 360837024. Its totient is φ = 30191616.

The previous prime is 114808549. The next prime is 114808591. The reversal of 114808560 is 65808411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14244 + ... + 20796.

Almost surely, 2114808560 is an apocalyptic number.

114808560 is a gapful number since it is divisible by the number (10) 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 114808560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180418512).

114808560 is an abundant number, since it is smaller than the sum of its proper divisors (246028464).

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

114808560 is a wasteful number, since it uses less digits than its factorization.

114808560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6642 (or 6636 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 114808560 is about 10714.8756409022. The cubic root of 114808560 is about 486.0244191697.

The spelling of 114808560 in words is "one hundred fourteen million, eight hundred eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 2190 2920 3504 4380 5840 6553 8760 13106 17520 19659 26212 32765 39318 52424 65530 78636 98295 104848 131060 157272 196590 262120 314544 393180 478369 524240 786360 956738 1435107 1572720 1913476 2391845 2870214 3826952 4783690 5740428 7175535 7653904 9567380 11480856 14351070 19134760 22961712 28702140 38269520 57404280 114808560