Search a number
-
+
7140730524 = 22317331105751
BaseRepresentation
bin1101010011001111…
…01110011010011100
3200102122112200202220
412221213232122130
5104111011334044
63140322345340
7341645131224
oct65147563234
920378480686
107140730524
113034835594
1214734bb250
1389a50a945
144ba511084
152bbd67019
hex1a99ee69c

7140730524 has 48 divisors (see below), whose sum is σ = 17695270656. Its totient is φ = 2233440000.

The previous prime is 7140730463. The next prime is 7140730547. The reversal of 7140730524 is 4250370417.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14649 + ... + 120399.

It is an arithmetic number, because the mean of its divisors is an integer number (368651472).

Almost surely, 27140730524 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 7140730524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8847635328).

7140730524 is an abundant number, since it is smaller than the sum of its proper divisors (10554540132).

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

7140730524 is a wasteful number, since it uses less digits than its factorization.

7140730524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106106 (or 106104 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 7140730524 is about 84502.8432894420. The cubic root of 7140730524 is about 1925.6656402933.

The spelling of 7140730524 in words is "seven billion, one hundred forty million, seven hundred thirty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 331 662 993 1324 1986 3972 5627 11254 16881 22508 33762 67524 105751 211502 317253 423004 634506 1269012 1797767 3595534 5393301 7191068 10786602 21573204 35003581 70007162 105010743 140014324 210021486 420042972 595060877 1190121754 1785182631 2380243508 3570365262 7140730524