Search a number
-
+
7940500000 = 255615881
BaseRepresentation
bin1110110010100101…
…00110101000100000
3202111101110012020121
413121102212220200
5112230232000000
63351532250024
7400526064526
oct73122465040
922441405217
107940500000
1134052291a4
121657310914
1399710c914
1455481a316
15317195b1a
hex1d94a6a20

7940500000 has 84 divisors (see below), whose sum is σ = 19542054546. Its totient is φ = 3176000000.

The previous prime is 7940499977. The next prime is 7940500019. The reversal of 7940500000 is 50497.

It can be written as a sum of positive squares in 7 ways, for example, as 2190614416 + 5749885584 = 46804^2 + 75828^2 .

It is a sliding number, since 7940500000 = 128000000 + 7812500000 and 1/128000000 + 1/7812500000 = 0.000000007940500000.

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

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 492060 + ... + 507940.

Almost surely, 27940500000 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 7940500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9771027273).

7940500000 is an abundant number, since it is smaller than the sum of its proper divisors (11601554546).

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

7940500000 is an frugal number, since it uses more digits than its factorization.

7940500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15921 (or 15888 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 7940500000 is about 89109.4832214843. The cubic root of 7940500000 is about 1995.0293230866.

Adding to 7940500000 its reverse (50497), we get a palindrome (7940550497).

The spelling of 7940500000 in words is "seven billion, nine hundred forty million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 15625 15881 20000 25000 31250 31762 50000 62500 63524 79405 100000 125000 127048 158810 250000 254096 317620 397025 500000 508192 635240 794050 1270480 1588100 1985125 2540960 3176200 3970250 6352400 7940500 9925625 12704800 15881000 19851250 31762000 39702500 49628125 63524000 79405000 99256250 158810000 198512500 248140625 317620000 397025000 496281250 794050000 992562500 1588100000 1985125000 3970250000 7940500000