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1300740000 = 25354719163
BaseRepresentation
bin100110110000111…
…1011011110100000
310100122120102211120
41031201323132200
510130442140000
6333023212240
744143051620
oct11541733640
93318512746
101300740000
1160826323a
12303747080
13179636a51
14c4a74880
15792d96a0
hex4d87b7a0

1300740000 has 480 divisors, whose sum is σ = 5164346880. Its totient is φ = 279936000.

The previous prime is 1300739941. The next prime is 1300740017. The reversal of 1300740000 is 470031.

1300740000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7979919 + ... + 7980081.

It is an arithmetic number, because the mean of its divisors is an integer number (10759056).

Almost surely, 21300740000 is an apocalyptic number.

1300740000 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 1300740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582173440).

1300740000 is an abundant number, since it is smaller than the sum of its proper divisors (3863606880).

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

1300740000 is a wasteful number, since it uses less digits than its factorization.

1300740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 1300740000 is about 36065.7732483306. The cubic root of 1300740000 is about 1091.5999285840.

The spelling of 1300740000 in words is "one billion, three hundred million, seven hundred forty thousand".