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1300323040 = 25527129989
BaseRepresentation
bin100110110000001…
…0101101011100000
310100121210020212121
41031200111223200
510130340314130
6333010234024
744136364162
oct11540255340
93317706777
101300323040
11607aa8a45
12303585914
1317951c023
14c49a6932
1579255d7a
hex4d815ae0

1300323040 has 48 divisors (see below), whose sum is σ = 3083451840. Its totient is φ = 518192640.

The previous prime is 1300323029. The next prime is 1300323049. The reversal of 1300323040 is 403230031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300323049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28366 + ... + 58354.

It is an arithmetic number, because the mean of its divisors is an integer number (64238580).

Almost surely, 21300323040 is an apocalyptic number.

1300323040 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 1300323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541725920).

1300323040 is an abundant number, since it is smaller than the sum of its proper divisors (1783128800).

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

1300323040 is a wasteful number, since it uses less digits than its factorization.

1300323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30275 (or 30267 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1300323040 is about 36059.9922351628. The cubic root of 1300323040 is about 1091.4832764862.

Adding to 1300323040 its reverse (403230031), we get a palindrome (1703553071).

The spelling of 1300323040 in words is "one billion, three hundred million, three hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 271 542 1084 1355 2168 2710 4336 5420 8672 10840 21680 29989 43360 59978 119956 149945 239912 299890 479824 599780 959648 1199560 2399120 4798240 8127019 16254038 32508076 40635095 65016152 81270190 130032304 162540380 260064608 325080760 650161520 1300323040