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1300404320 = 25529327739
BaseRepresentation
bin100110110000010…
…1001100001100000
310100121221101100222
41031200221201200
510130400414240
6333012102212
744140153145
oct11540514140
93317841328
101300404320
11608054016
12303604968
1317954a017
14c49c83cc
157926eeb5
hex4d829860

1300404320 has 48 divisors (see below), whose sum is σ = 3082801680. Its totient is φ = 518367744.

The previous prime is 1300404317. The next prime is 1300404349. The reversal of 1300404320 is 234040031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33011 + ... + 60749.

It is an arithmetic number, because the mean of its divisors is an integer number (64225035).

Almost surely, 21300404320 is an apocalyptic number.

1300404320 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 1300404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541400840).

1300404320 is an abundant number, since it is smaller than the sum of its proper divisors (1782397360).

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

1300404320 is a wasteful number, since it uses less digits than its factorization.

1300404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28047 (or 28039 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 1300404320 is about 36061.1192283323. The cubic root of 1300404320 is about 1091.5060179921.

Adding to 1300404320 its reverse (234040031), we get a palindrome (1534444351).

The spelling of 1300404320 in words is "one billion, three hundred million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 293 586 1172 1465 2344 2930 4688 5860 9376 11720 23440 27739 46880 55478 110956 138695 221912 277390 443824 554780 887648 1109560 2219120 4438240 8127527 16255054 32510108 40637635 65020216 81275270 130040432 162550540 260080864 325101080 650202160 1300404320