Search a number
-
+
114186264 = 23312593779
BaseRepresentation
bin1101100111001…
…01100000011000
321221212021002220
412303211200120
5213212430024
615155224040
72554365363
oct663454030
9257767086
10114186264
1159500915
12322a8020
131a86c94a
14112450da
15a057e79
hex6ce5818

114186264 has 32 divisors (see below), whose sum is σ = 285768000. Its totient is φ = 38021792.

The previous prime is 114186251. The next prime is 114186269. The reversal of 114186264 is 462681411.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114186269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28327 + ... + 32105.

It is an arithmetic number, because the mean of its divisors is an integer number (8930250).

Almost surely, 2114186264 is an apocalyptic number.

It is an amenable number.

114186264 is an abundant number, since it is smaller than the sum of its proper divisors (171581736).

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

114186264 is a wasteful number, since it uses less digits than its factorization.

114186264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5047 (or 5043 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 114186264 is about 10685.7973029625. The cubic root of 114186264 is about 485.1446962605.

The spelling of 114186264 in words is "one hundred fourteen million, one hundred eighty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 1259 2518 3777 3779 5036 7554 7558 10072 11337 15108 15116 22674 30216 30232 45348 90696 4757761 9515522 14273283 19031044 28546566 38062088 57093132 114186264