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114281712 = 24331272083
BaseRepresentation
bin1101100111111…
…00110011110000
321222001010001000
412303330303300
5213224003322
615201242000
72555243556
oct663746360
9258033030
10114281712
11595665a6
1232333300
131a8a421c
141126bbd6
15a0763ac
hex6cfccf0

114281712 has 80 divisors (see below), whose sum is σ = 330772480. Its totient is φ = 37775808.

The previous prime is 114281707. The next prime is 114281743. The reversal of 114281712 is 217182411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53823 + ... + 55905.

It is an arithmetic number, because the mean of its divisors is an integer number (4134656).

Almost surely, 2114281712 is an apocalyptic number.

114281712 is a gapful number since it is divisible by the number (12) 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 114281712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165386240).

114281712 is an abundant number, since it is smaller than the sum of its proper divisors (216490768).

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

114281712 is a wasteful number, since it uses less digits than its factorization.

114281712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2215 counting only the distinct ones).

The product of its digits is 896, while the sum is 27.

The square root of 114281712 is about 10690.2624850843. The cubic root of 114281712 is about 485.2798356750.

The spelling of 114281712 in words is "one hundred fourteen million, two hundred eighty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 216 254 381 432 508 762 1016 1143 1524 2032 2083 2286 3048 3429 4166 4572 6096 6249 6858 8332 9144 12498 13716 16664 18288 18747 24996 27432 33328 37494 49992 54864 56241 74988 99984 112482 149976 224964 264541 299952 449928 529082 793623 899856 1058164 1587246 2116328 2380869 3174492 4232656 4761738 6348984 7142607 9523476 12697968 14285214 19046952 28570428 38093904 57140856 114281712