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676260000 = 25325413172
BaseRepresentation
bin101000010011101…
…110100010100000
31202010111120022200
4220103232202200
52341110310000
6151034333200
722521054333
oct5023564240
91663446280
10676260000
11317805169
1216a58a200
13aa149860
1465b5861a
153e583500
hex284ee8a0

676260000 has 540 divisors, whose sum is σ = 2749168422. Its totient is φ = 156672000.

The previous prime is 676259981. The next prime is 676260043. The reversal of 676260000 is 62676.

It can be written as a sum of positive squares in 15 ways, for example, as 200845584 + 475414416 = 14172^2 + 21804^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 39779992 + ... + 39780008.

Almost surely, 2676260000 is an apocalyptic number.

676260000 is a gapful number since it is divisible by the number (60) 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 676260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374584211).

676260000 is an abundant number, since it is smaller than the sum of its proper divisors (2072908422).

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

676260000 is a wasteful number, since it uses less digits than its factorization.

676260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 676260000 is about 26004.9995193232. Note that the first 3 decimals coincide. The cubic root of 676260000 is about 877.7507988408.

The spelling of 676260000 in words is "six hundred seventy-six million, two hundred sixty thousand".