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114350460 = 22357272263
BaseRepresentation
bin1101101000011…
…01100101111100
321222011121100020
412310031211330
5213233203320
615202532140
72555651160
oct664154574
9258147306
10114350460
1159603214
1232367050
131a8c95c3
1411288ca0
15a08b940
hex6d0d97c

114350460 has 48 divisors (see below), whose sum is σ = 365922816. Its totient is φ = 26137152.

The previous prime is 114350447. The next prime is 114350471. The reversal of 114350460 is 64053411.

114350460 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

114350460 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 114350460.

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, 135712 + ... + 136551.

It is an arithmetic number, because the mean of its divisors is an integer number (7623392).

Almost surely, 2114350460 is an apocalyptic number.

114350460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114350460 is an abundant number, since it is smaller than the sum of its proper divisors (251572356).

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

114350460 is a wasteful number, since it uses less digits than its factorization.

114350460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272282 (or 272280 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 114350460 is about 10693.4774512317. The cubic root of 114350460 is about 485.3771254629.

The spelling of 114350460 in words is "one hundred fourteen million, three hundred fifty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 272263 544526 816789 1089052 1361315 1633578 1905841 2722630 3267156 3811682 4083945 5445260 5717523 7623364 8167890 9529205 11435046 16335780 19058410 22870092 28587615 38116820 57175230 114350460