Search a number
-
+
2675694000 = 243537219479
BaseRepresentation
bin1001111101111011…
…1101100110110000
320220110210100010210
42133132331212300
520434434202000
61121301224120
7123210011100
oct23736754660
96813710123
102675694000
1111533a5561
12628102040
133384563b5
141b5507200
15109d83350
hex9f7bd9b0

2675694000 has 480 divisors, whose sum is σ = 10585036800. Its totient is φ = 578188800.

The previous prime is 2675693987. The next prime is 2675694023. The reversal of 2675694000 is 4965762.

It is a self number, because there is not a number n which added to its sum of digits gives 2675694000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5585761 + ... + 5586239.

It is an arithmetic number, because the mean of its divisors is an integer number (22052160).

Almost surely, 22675694000 is an apocalyptic number.

2675694000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2675694000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292518400).

2675694000 is an abundant number, since it is smaller than the sum of its proper divisors (7909342800).

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

2675694000 is a wasteful number, since it uses less digits than its factorization.

2675694000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 2675694000 is about 51727.1108800791. The cubic root of 2675694000 is about 1388.2855871033.

The spelling of 2675694000 in words is "two billion, six hundred seventy-five million, six hundred ninety-four thousand".