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114065070 = 23571789359
BaseRepresentation
bin1101100110001…
…11111010101110
321221122002212020
412303013322232
5213200040240
615152451010
72553352140
oct663077256
9257562766
10114065070
1159428859
1232249a66
131a829732
1411212c90
15a0320d0
hex6cc7eae

114065070 has 128 divisors (see below), whose sum is σ = 335923200. Its totient is φ = 24195072.

The previous prime is 114065069. The next prime is 114065071. The reversal of 114065070 is 70560411.

It is an interprime number because it is at equal distance from previous prime (114065069) and next prime (114065071).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114065070.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114065071) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 317551 + ... + 317909.

It is an arithmetic number, because the mean of its divisors is an integer number (2624400).

Almost surely, 2114065070 is an apocalyptic number.

114065070 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 114065070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167961600).

114065070 is an abundant number, since it is smaller than the sum of its proper divisors (221858130).

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

114065070 is a wasteful number, since it uses less digits than its factorization.

114065070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 114065070 is about 10680.1249992685. The cubic root of 114065070 is about 484.9729959812.

The spelling of 114065070 in words is "one hundred fourteen million, sixty-five thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 89 102 105 119 170 178 210 238 255 267 357 359 445 510 534 595 623 714 718 890 1077 1190 1246 1335 1513 1785 1795 1869 2154 2513 2670 3026 3115 3570 3590 3738 4539 5026 5385 6103 6230 7539 7565 9078 9345 10591 10770 12206 12565 15078 15130 18309 18690 21182 22695 25130 30515 31773 31951 36618 37695 42721 45390 52955 61030 63546 63902 75390 85442 91545 95853 105910 128163 158865 159755 183090 191706 213605 223657 256326 317730 319510 427210 447314 479265 543167 640815 670971 958530 1086334 1118285 1281630 1341942 1629501 2236570 2715835 3259002 3354855 3802169 5431670 6709710 7604338 8147505 11406507 16295010 19010845 22813014 38021690 57032535 114065070