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114740560 = 24511235669
BaseRepresentation
bin1101101011011…
…00110101010000
321222220102110101
412311230311100
5213333144220
615215142144
72562164404
oct665546520
9258812411
10114740560
115984a310
1232514954
131aa0502c
141134b104
15a11730a
hex6d6cd50

114740560 has 80 divisors (see below), whose sum is σ = 303730560. Its totient is φ = 39902720.

The previous prime is 114740519. The next prime is 114740567. The reversal of 114740560 is 65047411.

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

It is a super-2 number, since 2×1147405602 = 26330792218227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114740567) 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, 17406 + ... + 23074.

It is an arithmetic number, because the mean of its divisors is an integer number (3796632).

Almost surely, 2114740560 is an apocalyptic number.

114740560 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 114740560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151865280).

114740560 is an abundant number, since it is smaller than the sum of its proper divisors (188990000).

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

114740560 is a wasteful number, since it uses less digits than its factorization.

114740560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5716 (or 5710 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 114740560 is about 10711.7020122854. The cubic root of 114740560 is about 485.9284443641.

Adding to 114740560 its reverse (65047411), we get a palindrome (179787971).

The spelling of 114740560 in words is "one hundred fourteen million, seven hundred forty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 1012 1265 1840 2024 2530 4048 5060 5669 10120 11338 20240 22676 28345 45352 56690 62359 90704 113380 124718 130387 226760 249436 260774 311795 453520 498872 521548 623590 651935 997744 1043096 1247180 1303870 1434257 2086192 2494360 2607740 2868514 4988720 5215480 5737028 7171285 10430960 11474056 14342570 22948112 28685140 57370280 114740560