Search a number
-
+
114627420 = 22335792687
BaseRepresentation
bin1101101010100…
…01001101011100
321222200200021000
412311101031130
5213321034140
615212510300
72561213505
oct665211534
9258620230
10114627420
1159782306
123247b390
131a99569b
141131bbac
15a0e3a30
hex6d5135c

114627420 has 96 divisors (see below), whose sum is σ = 361267200. Its totient is φ = 30169152.

The previous prime is 114627391. The next prime is 114627421. The reversal of 114627420 is 24726411.

114627420 is a `hidden beast` number, since 1 + 14 + 627 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114627421) 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, 41317 + ... + 44003.

It is an arithmetic number, because the mean of its divisors is an integer number (3763200).

Almost surely, 2114627420 is an apocalyptic number.

114627420 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 114627420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180633600).

114627420 is an abundant number, since it is smaller than the sum of its proper divisors (246639780).

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

114627420 is a wasteful number, since it uses less digits than its factorization.

114627420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 114627420 is about 10706.4195695853. The cubic root of 114627420 is about 485.7686751583.

The spelling of 114627420 in words is "one hundred fourteen million, six hundred twenty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 90 108 135 158 180 237 270 316 395 474 540 711 790 948 1185 1422 1580 2133 2370 2687 2844 3555 4266 4740 5374 7110 8061 8532 10665 10748 13435 14220 16122 21330 24183 26870 32244 40305 42660 48366 53740 72549 80610 96732 120915 145098 161220 212273 241830 290196 362745 424546 483660 636819 725490 849092 1061365 1273638 1450980 1910457 2122730 2547276 3184095 3820914 4245460 5731371 6368190 7641828 9552285 11462742 12736380 19104570 22925484 28656855 38209140 57313710 114627420