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114042280 = 235112359191
BaseRepresentation
bin1101100110000…
…10010110101000
321221120221121011
412303002112220
5213143323110
615152153304
72553225532
oct663022650
9257527534
10114042280
1159412720
1232238834
131a81c251
1411208852
15a02a48a
hex6cc25a8

114042280 has 128 divisors (see below), whose sum is σ = 298598400. Its totient is φ = 38790400.

The previous prime is 114042277. The next prime is 114042289. The reversal of 114042280 is 82240411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (114042289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 596985 + ... + 597175.

It is an arithmetic number, because the mean of its divisors is an integer number (2332800).

Almost surely, 2114042280 is an apocalyptic number.

114042280 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 114042280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149299200).

114042280 is an abundant number, since it is smaller than the sum of its proper divisors (184556120).

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

114042280 is a wasteful number, since it uses less digits than its factorization.

114042280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 114042280 is about 10679.0580108922. The cubic root of 114042280 is about 484.9406949132.

Adding to 114042280 its reverse (82240411), we get a palindrome (196282691).

The spelling of 114042280 in words is "one hundred fourteen million, forty-two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 59 88 92 110 115 118 184 191 220 230 236 253 295 382 440 460 472 506 590 649 764 920 955 1012 1180 1265 1298 1357 1528 1910 2024 2101 2360 2530 2596 2714 3245 3820 4202 4393 5060 5192 5428 6490 6785 7640 8404 8786 10120 10505 10856 11269 12980 13570 14927 16808 17572 21010 21965 22538 25960 27140 29854 35144 42020 43930 45076 48323 54280 56345 59708 74635 84040 87860 90152 96646 112690 119416 123959 149270 175720 193292 225380 241615 247918 259187 298540 386584 450760 483230 495836 518374 597080 619795 966460 991672 1036748 1239590 1295935 1932920 2073496 2479180 2591870 2851057 4958360 5183740 5702114 10367480 11404228 14255285 22808456 28510570 57021140 114042280