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114305040 = 2433552919
BaseRepresentation
bin1101101000000…
…10100000010000
321222002022001000
412310002200100
5213230230130
615201542000
72555401563
oct664024020
9258068030
10114305040
1159582083
1232344900
131a8b1a25
14112764da
15a07d260
hex6d02810

114305040 has 80 divisors (see below), whose sum is σ = 393724800. Its totient is φ = 30480768.

The previous prime is 114305039. The next prime is 114305041. The reversal of 114305040 is 40503411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114305039) and next prime (114305041).

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (114305041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24300 + ... + 28619.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2114305040 is an apocalyptic number.

114305040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114305040 is an abundant number, since it is smaller than the sum of its proper divisors (279419760).

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

114305040 is a wasteful number, since it uses less digits than its factorization.

114305040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52941 (or 52929 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 114305040 is about 10691.3535158089. The cubic root of 114305040 is about 485.3128530249.

Adding to 114305040 its reverse (40503411), we get a palindrome (154808451).

The spelling of 114305040 in words is "one hundred fourteen million, three hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 52919 105838 158757 211676 264595 317514 423352 476271 529190 635028 793785 846704 952542 1058380 1270056 1428813 1587570 1905084 2116760 2381355 2540112 2857626 3175140 3810168 4233520 4762710 5715252 6350280 7144065 7620336 9525420 11430504 12700560 14288130 19050840 22861008 28576260 38101680 57152520 114305040