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114254000 = 245378161
BaseRepresentation
bin1101100111101…
…10000010110000
321221222201000122
412303312002300
5213222112000
615200505412
72555100020
oct663660260
9257881018
10114254000
11595477a3
123231b268
131a894723
1411261a80
15a06d085
hex6cf60b0

114254000 has 80 divisors (see below), whose sum is σ = 315771456. Its totient is φ = 39168000.

The previous prime is 114253963. The next prime is 114254029. The reversal of 114254000 is 452411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 114254000.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9920 + ... + 18080.

Almost surely, 2114254000 is an apocalyptic number.

114254000 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 114254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157885728).

114254000 is an abundant number, since it is smaller than the sum of its proper divisors (201517456).

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

114254000 is an equidigital number, since it uses as much as digits as its factorization.

114254000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8191 (or 8175 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 114254000 is about 10688.9662736862. The cubic root of 114254000 is about 485.2406075788.

The spelling of 114254000 in words is "one hundred fourteen million, two hundred fifty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 8161 14000 16322 32644 40805 57127 65288 81610 114254 130576 163220 204025 228508 285635 326440 408050 457016 571270 652880 816100 914032 1020125 1142540 1428175 1632200 2040250 2285080 2856350 3264400 4080500 4570160 5712700 7140875 8161000 11425400 14281750 16322000 22850800 28563500 57127000 114254000