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1300452000 = 25353307353
BaseRepresentation
bin100110110000011…
…0101001010100000
310100122000210202220
41031200311022200
510130403431000
6333013111040
744140442151
oct11540651240
93318023686
101300452000
11608086921
12303628480
13179565933
14c49db928
157927e1a0
hex4d8352a0

1300452000 has 192 divisors, whose sum is σ = 4286265984. Its totient is φ = 344678400.

The previous prime is 1300451989. The next prime is 1300452001. The reversal of 1300452000 is 2540031.

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

It is not an unprimeable number, because it can be changed into a prime (1300452001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3683824 + ... + 3684176.

It is an arithmetic number, because the mean of its divisors is an integer number (22324302).

Almost surely, 21300452000 is an apocalyptic number.

1300452000 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 1300452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143132992).

1300452000 is an abundant number, since it is smaller than the sum of its proper divisors (2985813984).

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

1300452000 is a wasteful number, since it uses less digits than its factorization.

1300452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1300452000 is about 36061.7803221083. The cubic root of 1300452000 is about 1091.5193580408.

Adding to 1300452000 its reverse (2540031), we get a palindrome (1302992031).

The spelling of 1300452000 in words is "one billion, three hundred million, four hundred fifty-two thousand".