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114856812 = 223371391093
BaseRepresentation
bin1101101100010…
…01001101101100
322000010022221000
412312021031230
5213400404222
615221440300
72563160340
oct666111554
9260108830
10114856812
1159919694
1232570090
131aa45c15
141137b620
15a13b9ac
hex6d8936c

114856812 has 96 divisors (see below), whose sum is σ = 343078400. Its totient is φ = 32550336.

The previous prime is 114856793. The next prime is 114856817. The reversal of 114856812 is 218658411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114856817) 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, 104538 + ... + 105630.

Almost surely, 2114856812 is an apocalyptic number.

114856812 is a gapful number since it is divisible by the number (12) 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 114856812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171539200).

114856812 is an abundant number, since it is smaller than the sum of its proper divisors (228221588).

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

114856812 is a wasteful number, since it uses less digits than its factorization.

114856812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1244 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 114856812 is about 10717.1270403966. The cubic root of 114856812 is about 486.0924987786.

The spelling of 114856812 in words is "one hundred fourteen million, eight hundred fifty-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 139 189 252 278 378 417 556 756 834 973 1093 1251 1668 1946 2186 2502 2919 3279 3753 3892 4372 5004 5838 6558 7506 7651 8757 9837 11676 13116 15012 15302 17514 19674 22953 26271 29511 30604 35028 39348 45906 52542 59022 68859 91812 105084 118044 137718 151927 206577 275436 303854 413154 455781 607708 826308 911562 1063489 1367343 1823124 2126978 2734686 3190467 4102029 4253956 5469372 6380934 8204058 9571401 12761868 16408116 19142802 28714203 38285604 57428406 114856812