Search a number
-
+
114057500 = 2254431061
BaseRepresentation
bin1101100110001…
…10000100011100
321221121201110212
412303012010130
5213144320000
615152351552
72553321104
oct663060434
9257551425
10114057500
11594230a7
12322455b8
131a82615b
1411210204
15a02ec35
hex6cc611c

114057500 has 60 divisors (see below), whose sum is σ = 255461976. Its totient is φ = 44520000.

The previous prime is 114057499. The next prime is 114057509. The reversal of 114057500 is 5750411.

It is a super-2 number, since 2×1140575002 = 26018226612500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114057509) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106970 + ... + 108030.

Almost surely, 2114057500 is an apocalyptic number.

114057500 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 114057500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127730988).

114057500 is an abundant number, since it is smaller than the sum of its proper divisors (141404476).

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

114057500 is a wasteful number, since it uses less digits than its factorization.

114057500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 114057500 is about 10679.7705967872. The cubic root of 114057500 is about 484.9622672313.

The spelling of 114057500 in words is "one hundred fourteen million, fifty-seven thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 125 172 215 250 430 500 625 860 1061 1075 1250 2122 2150 2500 4244 4300 5305 5375 10610 10750 21220 21500 26525 26875 45623 53050 53750 91246 106100 107500 132625 182492 228115 265250 456230 530500 663125 912460 1140575 1326250 2281150 2652500 4562300 5702875 11405750 22811500 28514375 57028750 114057500