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1720680000 = 26354131103
BaseRepresentation
bin110011010001111…
…0111111001000000
311102220202121012220
41212203313321000
512010443230000
6442424051040
760432352524
oct14643677100
94386677186
101720680000
11803308396
12400303a80
1321563a360
14124749d84
15a10db1a0
hex668f7e40

1720680000 has 280 divisors, whose sum is σ = 6132137088. Its totient is φ = 423168000.

The previous prime is 1720679977. The next prime is 1720680001. The reversal of 1720680000 is 860271.

1720680000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1720680001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1559449 + ... + 1560551.

Almost surely, 21720680000 is an apocalyptic number.

1720680000 is a gapful number since it is divisible by the number (10) 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 1720680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066068544).

1720680000 is an abundant number, since it is smaller than the sum of its proper divisors (4411457088).

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

1720680000 is a wasteful number, since it uses less digits than its factorization.

1720680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1720680000 is about 41481.0800245124. The cubic root of 1720680000 is about 1198.3031572905.

The spelling of 1720680000 in words is "one billion, seven hundred twenty million, six hundred eighty thousand".