Search a number
-
+
70507024 = 24717191949
BaseRepresentation
bin1000011001111…
…01101000010000
311220200010110021
410030331220100
5121022211044
610555113224
71514204560
oct414755020
9156603407
1070507024
1136887a75
121b742814
13117b8543
149514da0
1562cae84
hex433da10

70507024 has 80 divisors (see below), whose sum is σ = 174096000. Its totient is φ = 26929152.

The previous prime is 70507009. The next prime is 70507037. The reversal of 70507024 is 42070507.

It is a self number, because there is not a number n which added to its sum of digits gives 70507024.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35202 + ... + 37150.

It is an arithmetic number, because the mean of its divisors is an integer number (2176200).

Almost surely, 270507024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70507024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87048000).

70507024 is an abundant number, since it is smaller than the sum of its proper divisors (103588976).

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

70507024 is a wasteful number, since it uses less digits than its factorization.

70507024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 70507024 is about 8396.8460745687. The cubic root of 70507024 is about 413.1211802925.

The spelling of 70507024 in words is "seventy million, five hundred seven thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 17 19 28 34 38 56 68 76 112 119 133 136 152 238 266 272 304 323 476 532 646 952 1064 1292 1904 1949 2128 2261 2584 3898 4522 5168 7796 9044 13643 15592 18088 27286 31184 33133 36176 37031 54572 66266 74062 109144 132532 148124 218288 231931 259217 265064 296248 463862 518434 530128 592496 629527 927724 1036868 1259054 1855448 2073736 2518108 3710896 4147472 4406689 5036216 8813378 10072432 17626756 35253512 70507024