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114050860 = 225711312389
BaseRepresentation
bin1101100110001…
…00011100101100
321221121101100221
412303010130230
5213144111420
615152301124
72553262540
oct663043454
9257541327
10114050860
1159419110
12322417a4
131a823121
141120ba20
15a02ccaa
hex6cc472c

114050860 has 96 divisors (see below), whose sum is σ = 308367360. Its totient is φ = 34387200.

The previous prime is 114050831. The next prime is 114050861. The reversal of 114050860 is 68050411.

It is not an unprimeable number, because it can be changed into a prime (114050861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46546 + ... + 48934.

It is an arithmetic number, because the mean of its divisors is an integer number (3212160).

Almost surely, 2114050860 is an apocalyptic number.

114050860 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 114050860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154183680).

114050860 is an abundant number, since it is smaller than the sum of its proper divisors (194316500).

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

114050860 is a wasteful number, since it uses less digits than its factorization.

114050860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 114050860 is about 10679.4597241621. The cubic root of 114050860 is about 484.9528561538.

The spelling of 114050860 in words is "one hundred fourteen million, fifty thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 44 55 62 70 77 110 124 140 154 155 217 220 308 310 341 385 434 620 682 770 868 1085 1364 1540 1705 2170 2387 2389 3410 4340 4774 4778 6820 9548 9556 11935 11945 16723 23870 23890 26279 33446 47740 47780 52558 66892 74059 83615 105116 131395 148118 167230 183953 262790 296236 334460 367906 370295 518413 525580 735812 740590 814649 919765 1036826 1481180 1629298 1839530 2073652 2592065 3258596 3679060 4073245 5184130 5702543 8146490 10368260 11405086 16292980 22810172 28512715 57025430 114050860