Search a number
-
+
8007214300 = 225289899687
BaseRepresentation
bin1110111010100010…
…00110010011011100
3202200000222122001121
413131101012103130
5112344321324200
63402314220324
7402266125051
oct73521062334
922600878047
108007214300
113439955688
1216757246a4
139a7b9aa37
1455d625028
1531ce72e1a
hex1dd4464dc

8007214300 has 36 divisors (see below), whose sum is σ = 17570906640. Its totient is φ = 3166894720.

The previous prime is 8007214283. The next prime is 8007214337. The reversal of 8007214300 is 34127008.

It is a super-2 number, since 2×80072143002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 440944 + ... + 458743.

It is an arithmetic number, because the mean of its divisors is an integer number (488080740).

Almost surely, 28007214300 is an apocalyptic number.

It is an amenable number.

8007214300 is an abundant number, since it is smaller than the sum of its proper divisors (9563692340).

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

8007214300 is a wasteful number, since it uses less digits than its factorization.

8007214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899790 (or 899783 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 8007214300 is about 89483.0391750303. The cubic root of 8007214300 is about 2000.6010110414.

The spelling of 8007214300 in words is "eight billion, seven million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1780 2225 4450 8900 899687 1799374 3598748 4498435 8996870 17993740 22492175 44984350 80072143 89968700 160144286 320288572 400360715 800721430 1601442860 2001803575 4003607150 8007214300