[go: up one dir, main page]

Search a number
-
+
114044670 = 232517131569
BaseRepresentation
bin1101100110000…
…10111011111110
321221121001212200
412303002323332
5213143412140
615152212330
72553235515
oct663027376
9257531780
10114044670
11594144a3
123223a0a6
131a82036c
141120967c
15a02b030
hex6cc2efe

114044670 has 96 divisors (see below), whose sum is σ = 316910880. Its totient is φ = 28354560.

The previous prime is 114044663. The next prime is 114044681. The reversal of 114044670 is 76440411.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200146 + ... + 200714.

It is an arithmetic number, because the mean of its divisors is an integer number (3301155).

Almost surely, 2114044670 is an apocalyptic number.

114044670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114044670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158455440).

114044670 is an abundant number, since it is smaller than the sum of its proper divisors (202866210).

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

114044670 is a wasteful number, since it uses less digits than its factorization.

114044670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 114044670 is about 10679.1699115615. The cubic root of 114044670 is about 484.9440825461.

The spelling of 114044670 in words is "one hundred fourteen million, forty-four thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 131 153 170 255 262 306 393 510 569 655 765 786 1138 1179 1310 1530 1707 1965 2227 2358 2845 3414 3930 4454 5121 5690 5895 6681 8535 9673 10242 11135 11790 13362 17070 19346 20043 22270 25605 29019 33405 40086 48365 51210 58038 66810 74539 87057 96730 100215 145095 149078 174114 200430 223617 290190 372695 435285 447234 670851 745390 870570 1118085 1267163 1341702 2236170 2534326 3354255 3801489 6335815 6708510 7602978 11404467 12671630 19007445 22808934 38014890 57022335 114044670