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114313056 = 25311213757
BaseRepresentation
bin1101101000001…
…00011101100000
321222002201000220
412310010131200
5213231004211
615202043040
72555434134
oct664043540
9258081026
10114313056
1159588100
1232349480
131a8b5580
14112793c4
15a080806
hex6d04760

114313056 has 144 divisors (see below), whose sum is σ = 355671792. Its totient is φ = 31933440.

The previous prime is 114313033. The next prime is 114313057. The reversal of 114313056 is 650313411.

Adding to 114313056 its reverse (650313411), we get a palindrome (764626467).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114313057) 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 23 ways as a sum of consecutive naturals, for example, 150630 + ... + 151386.

It is an arithmetic number, because the mean of its divisors is an integer number (2469943).

Almost surely, 2114313056 is an apocalyptic number.

114313056 is a gapful number since it is divisible by the number (16) 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 114313056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177835896).

114313056 is an abundant number, since it is smaller than the sum of its proper divisors (241358736).

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

114313056 is a wasteful number, since it uses less digits than its factorization.

114313056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 114313056 is about 10691.7283916119. The cubic root of 114313056 is about 485.3241974558.

The spelling of 114313056 in words is "one hundred fourteen million, three hundred thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 121 132 143 156 176 208 242 264 286 312 352 363 416 429 484 528 572 624 726 757 858 968 1056 1144 1248 1452 1514 1573 1716 1936 2271 2288 2904 3028 3146 3432 3872 4542 4576 4719 5808 6056 6292 6864 8327 9084 9438 9841 11616 12112 12584 13728 16654 18168 18876 19682 24224 24981 25168 29523 33308 36336 37752 39364 49962 50336 59046 66616 72672 75504 78728 91597 99924 108251 118092 133232 151008 157456 183194 199848 216502 236184 266464 274791 314912 324753 366388 399696 433004 472368 549582 649506 732776 799392 866008 944736 1099164 1190761 1299012 1465552 1732016 2198328 2381522 2598024 2931104 3464032 3572283 4396656 4763044 5196048 7144566 8793312 9526088 10392096 14289132 19052176 28578264 38104352 57156528 114313056