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700560042 = 237134353563
BaseRepresentation
bin101001110000011…
…011001010101010
31210211020010201020
4221300123022222
52413320410132
6153303233310
723234443050
oct5160331252
91724203636
10700560042
1132a4a2146
12176748836
13b21a7290
14690821d0
154178352c
hex29c1b2aa

700560042 has 128 divisors (see below), whose sum is σ = 1801046016. Its totient is φ = 176746752.

The previous prime is 700560037. The next prime is 700560079. The reversal of 700560042 is 240065007.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 700559994 and 700560021.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1244053 + ... + 1244615.

It is an arithmetic number, because the mean of its divisors is an integer number (14070672).

Almost surely, 2700560042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 700560042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900523008).

700560042 is an abundant number, since it is smaller than the sum of its proper divisors (1100485974).

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

700560042 is a wasteful number, since it uses less digits than its factorization.

700560042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 700560042 is about 26468.0947935434. The cubic root of 700560042 is about 888.1407307799.

The spelling of 700560042 in words is "seven hundred million, five hundred sixty thousand, forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 43 53 78 86 91 106 129 159 182 258 273 301 318 371 546 559 563 602 689 742 903 1113 1118 1126 1378 1677 1689 1806 2067 2226 2279 3354 3378 3913 3941 4134 4558 4823 6837 7319 7826 7882 9646 11739 11823 13674 14469 14638 15953 21957 23478 23646 24209 28938 29627 29839 31906 43914 47859 48418 51233 59254 59678 72627 88881 89517 95718 102466 145254 153699 169463 177762 179034 207389 208873 307398 314717 338926 387907 414778 417746 508389 622167 626619 629434 775814 944151 1016778 1163721 1244334 1253238 1283077 1888302 2203019 2327442 2566154 2715349 3849231 4406038 5430698 6609057 7698462 8146047 8981539 13218114 16292094 16680001 17963078 26944617 33360002 50040003 53889234 100080006 116760007 233520014 350280021 700560042