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114061860 = 223251125237
BaseRepresentation
bin1101100110001…
…11001000100100
321221121221110100
412303013020210
5213144434420
615152424100
72553336603
oct663071044
9257557410
10114061860
1159426400
1232248030
131a828133
1411211a3a
15a031190
hex6cc7224

114061860 has 108 divisors (see below), whose sum is σ = 380373084. Its totient is φ = 27646080.

The previous prime is 114061811. The next prime is 114061873. The reversal of 114061860 is 68160411.

114061860 = 14132 + 14142 + ... + 14672.

114061860 is a `hidden beast` number, since 1 + 1 + 40 + 618 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71368704 + 42693156 = 8448^2 + 6534^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19162 + ... + 24398.

It is an arithmetic number, because the mean of its divisors is an integer number (3521973).

Almost surely, 2114061860 is an apocalyptic number.

114061860 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 114061860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190186542).

114061860 is an abundant number, since it is smaller than the sum of its proper divisors (266311224).

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

114061860 is a wasteful number, since it uses less digits than its factorization.

114061860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5274 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 114061860 is about 10679.9747190712. The cubic root of 114061860 is about 484.9684465957.

It can be divided in two parts, 114061 and 860, that added together give a square (114921 = 3392).

The spelling of 114061860 in words is "one hundred fourteen million, sixty-one thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5237 5445 7260 10474 10890 15711 20948 21780 26185 31422 47133 52370 57607 62844 78555 94266 104740 115214 157110 172821 188532 230428 235665 288035 314220 345642 471330 518463 576070 633677 691284 864105 942660 1036926 1152140 1267354 1728210 1901031 2073852 2534708 2592315 3168385 3456420 3802062 5184630 5703093 6336770 7604124 9505155 10369260 11406186 12673540 19010310 22812372 28515465 38020620 57030930 114061860