Search a number
-
+
114056080 = 2452361987
BaseRepresentation
bin1101100110001…
…01101110010000
321221121122112021
412303011232100
5213144243310
615152341224
72553314005
oct663055620
9257548467
10114056080
1159422026
1232244814
131a825608
141120d8ac
15a02e5da
hex6cc5b90

114056080 has 40 divisors (see below), whose sum is σ = 276714432. Its totient is φ = 43638144.

The previous prime is 114056071. The next prime is 114056087. The reversal of 114056080 is 80650411.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (114056087) 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 7 ways as a sum of consecutive naturals, for example, 29154 + ... + 32833.

Almost surely, 2114056080 is an apocalyptic number.

114056080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114056080 is an abundant number, since it is smaller than the sum of its proper divisors (162658352).

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

114056080 is a wasteful number, since it uses less digits than its factorization.

114056080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62023 (or 62017 counting only the distinct ones).

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

The square root of 114056080 is about 10679.7041157515. The cubic root of 114056080 is about 484.9602546521.

The spelling of 114056080 in words is "one hundred fourteen million, fifty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 61987 123974 247948 309935 495896 619870 991792 1239740 1425701 2479480 2851402 4958960 5702804 7128505 11405608 14257010 22811216 28514020 57028040 114056080