Search a number
-
+
2830600040 = 235571112391
BaseRepresentation
bin1010100010110111…
…1000011101101000
321022021021101021112
42220231320131220
521244113200130
61144513325452
7130100463152
oct25055703550
97267241245
102830600040
111222888784
1266bb66888
13361582388
141cbd0bad2
15118781495
hexa8b78768

2830600040 has 32 divisors (see below), whose sum is σ = 6370479360. Its totient is φ = 1131950400.

The previous prime is 2830600033. The next prime is 2830600057. The reversal of 2830600040 is 400060382.

It is a happy number.

2830600040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2830599979 and 2830600015.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222245 + ... + 234635.

It is an arithmetic number, because the mean of its divisors is an integer number (199077480).

Almost surely, 22830600040 is an apocalyptic number.

2830600040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2830600040 is an abundant number, since it is smaller than the sum of its proper divisors (3539879320).

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

2830600040 is a wasteful number, since it uses less digits than its factorization.

2830600040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18113 (or 18109 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2830600040 is about 53203.3837269774. The cubic root of 2830600040 is about 1414.5756222147.

The spelling of 2830600040 in words is "two billion, eight hundred thirty million, six hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 5711 11422 12391 22844 24782 28555 45688 49564 57110 61955 99128 114220 123910 228440 247820 495640 70765001 141530002 283060004 353825005 566120008 707650010 1415300020 2830600040