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114310240 = 25511107607
BaseRepresentation
bin1101101000000…
…11110001100000
321222002120011121
412310003301200
5213230411430
615202022024
72555423002
oct664036140
9258076147
10114310240
1159585a80
1232347914
131a8b41c5
1411278372
15a07ea7a
hex6d03c60

114310240 has 96 divisors (see below), whose sum is σ = 297851904. Its totient is φ = 41111040.

The previous prime is 114310187. The next prime is 114310243. The reversal of 114310240 is 42013411.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114310243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188017 + ... + 188623.

It is an arithmetic number, because the mean of its divisors is an integer number (3102624).

Almost surely, 2114310240 is an apocalyptic number.

114310240 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 114310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148925952).

114310240 is an abundant number, since it is smaller than the sum of its proper divisors (183541664).

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

114310240 is a wasteful number, since it uses less digits than its factorization.

114310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 114310240 is about 10691.5967002127. The cubic root of 114310240 is about 485.3202122471.

Adding to 114310240 its reverse (42013411), we get a palindrome (156323651).

The spelling of 114310240 in words is "one hundred fourteen million, three hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 107 110 160 176 214 220 352 428 440 535 607 856 880 1070 1177 1214 1712 1760 2140 2354 2428 3035 3424 4280 4708 4856 5885 6070 6677 8560 9416 9712 11770 12140 13354 17120 18832 19424 23540 24280 26708 33385 37664 47080 48560 53416 64949 66770 94160 97120 106832 129898 133540 188320 213664 259796 267080 324745 519592 534160 649490 714439 1039184 1068320 1298980 1428878 2078368 2597960 2857756 3572195 5195920 5715512 7144390 10391840 11431024 14288780 22862048 28577560 57155120 114310240