Search a number
-
+
70350126 = 237112109127
BaseRepresentation
bin1000011000101…
…11010100101110
311220101011020020
410030113110232
5121002201001
610551503010
71512652260
oct414272456
9156334206
1070350126
1136790100
121b687a66
1311761cc2
1494b3b30
156299736
hex431752e

70350126 has 96 divisors (see below), whose sum is σ = 179773440. Its totient is φ = 17962560.

The previous prime is 70350113. The next prime is 70350127. The reversal of 70350126 is 62105307.

It is a junction number, because it is equal to n+sod(n) for n = 70350096 and 70350105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70350127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 553875 + ... + 554001.

It is an arithmetic number, because the mean of its divisors is an integer number (1872640).

Almost surely, 270350126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70350126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89886720).

70350126 is an abundant number, since it is smaller than the sum of its proper divisors (109423314).

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

70350126 is a wasteful number, since it uses less digits than its factorization.

70350126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 70350126 is about 8387.4981967211. The cubic root of 70350126 is about 412.8145156883.

The spelling of 70350126 in words is "seventy million, three hundred fifty thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 109 121 127 154 218 231 242 254 327 363 381 462 654 726 762 763 847 889 1199 1397 1526 1694 1778 2289 2398 2541 2667 2794 3597 4191 4578 5082 5334 7194 8382 8393 9779 13189 13843 15367 16786 19558 25179 26378 27686 29337 30734 39567 41529 46101 50358 58674 79134 83058 92202 92323 96901 107569 152273 184646 193802 215138 276969 290703 304546 322707 456819 553938 581406 645414 913638 1065911 1675003 2131822 3197733 3350006 5025009 6395466 10050018 11725021 23450042 35175063 70350126