Search a number
-
+
114027100 = 225211234507
BaseRepresentation
bin1101100101111…
…10101001011100
321221120011202221
412302332221130
5213142331400
615151555124
72553133345
oct662765134
9257504687
10114027100
1159402280
123222baa4
131a815375
14112030cc
15a025c1a
hex6cbea5c

114027100 has 72 divisors (see below), whose sum is σ = 281731968. Its totient is φ = 39652800.

The previous prime is 114027097. The next prime is 114027107. The reversal of 114027100 is 1720411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114027107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23047 + ... + 27553.

It is an arithmetic number, because the mean of its divisors is an integer number (3912944).

Almost surely, 2114027100 is an apocalyptic number.

114027100 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 114027100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140865984).

114027100 is an abundant number, since it is smaller than the sum of its proper divisors (167704868).

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

114027100 is a wasteful number, since it uses less digits than its factorization.

114027100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 114027100 is about 10678.3472503941. The cubic root of 114027100 is about 484.9191773777.

Adding to 114027100 its reverse (1720411), we get a palindrome (115747511).

The spelling of 114027100 in words is "one hundred fourteen million, twenty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 4507 5060 6325 9014 12650 18028 22535 25300 45070 49577 90140 99154 103661 112675 198308 207322 225350 247885 414644 450700 495770 518305 991540 1036610 1140271 1239425 2073220 2280542 2478850 2591525 4561084 4957700 5183050 5701355 10366100 11402710 22805420 28506775 57013550 114027100