Search a number
-
+
76003075000 = 235519915277
BaseRepresentation
bin100011011001000100…
…0101110001110111000
321021011210012020122201
41012302020232032320
52221123241400000
654525413355544
75330266323016
oct1066210561670
9237153166581
1076003075000
112a261833186
1212891338bb4
13722304bc38
14396ddc58b6
151e9c65496a
hex11b222e3b8

76003075000 has 96 divisors (see below), whose sum is σ = 179027604000. Its totient is φ = 30246480000.

The previous prime is 76003074971. The next prime is 76003075037. The reversal of 76003075000 is 57030067.

It is a self number, because there is not a number n which added to its sum of digits gives 76003075000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4967362 + ... + 4982638.

It is an arithmetic number, because the mean of its divisors is an integer number (1864870875).

Almost surely, 276003075000 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 76003075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89513802000).

76003075000 is an abundant number, since it is smaller than the sum of its proper divisors (103024529000).

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

76003075000 is a wasteful number, since it uses less digits than its factorization.

76003075000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15507 (or 15483 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 28.

The spelling of 76003075000 in words is "seventy-six billion, three million, seventy-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 199 200 250 398 500 625 796 995 1000 1250 1592 1990 2500 3125 3980 4975 5000 6250 7960 9950 12500 15277 19900 24875 25000 30554 39800 49750 61108 76385 99500 122216 124375 152770 199000 248750 305540 381925 497500 611080 621875 763850 995000 1243750 1527700 1909625 2487500 3040123 3055400 3819250 4975000 6080246 7638500 9548125 12160492 15200615 15277000 19096250 24320984 30401230 38192500 47740625 60802460 76003075 76385000 95481250 121604920 152006150 190962500 304012300 380015375 381925000 608024600 760030750 1520061500 1900076875 3040123000 3800153750 7600307500 9500384375 15200615000 19000768750 38001537500 76003075000