Search a number
-
+
75969684 = 223373172
BaseRepresentation
bin1001000011100…
…11010010010100
312021221122211000
410201303102110
5123422012214
611312143300
71611505650
oct441632224
9167848730
1075969684
113997916a
1221537b30
131297ba9b
14a137a60
156a09809
hex4873494

75969684 has 72 divisors (see below), whose sum is σ = 225807680. Its totient is φ = 21637152.

The previous prime is 75969683. The next prime is 75969689. The reversal of 75969684 is 48696957.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 75969684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75969683) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 239494 + ... + 239810.

Almost surely, 275969684 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 75969684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112903840).

75969684 is an abundant number, since it is smaller than the sum of its proper divisors (149837996).

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

75969684 is a wasteful number, since it uses less digits than its factorization.

75969684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 329 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 75969684 is about 8716.0589718060. The cubic root of 75969684 is about 423.5260293439.

The spelling of 75969684 in words is "seventy-five million, nine hundred sixty-nine thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 317 378 634 756 951 1268 1902 2219 2853 3804 4438 5706 6657 8559 8876 11412 13314 17118 19971 26628 34236 39942 59913 79884 100489 119826 200978 239652 301467 401956 602934 703423 904401 1205868 1406846 1808802 2110269 2713203 2813692 3617604 4220538 5426406 6330807 8441076 10852812 12661614 18992421 25323228 37984842 75969684