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1300607968 = 25117946771
BaseRepresentation
bin100110110000101…
…1011001111100000
310100122022201201111
41031201123033200
510130423423333
6333020313104
744141661652
oct11541331740
93318281644
101300607968
11608183020
123036a2794
131795bb91a
14c4a3c6d2
15792b04cd
hex4d85b3e0

1300607968 has 48 divisors (see below), whose sum is σ = 2828770560. Its totient is φ = 583689600.

The previous prime is 1300607963. The next prime is 1300607983. The reversal of 1300607968 is 8697060031.

It is a self number, because there is not a number n which added to its sum of digits gives 1300607968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300607963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4423 + ... + 51193.

It is an arithmetic number, because the mean of its divisors is an integer number (58932720).

Almost surely, 21300607968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300607968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414385280).

1300607968 is an abundant number, since it is smaller than the sum of its proper divisors (1528162592).

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

1300607968 is a wasteful number, since it uses less digits than its factorization.

1300607968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46871 (or 46863 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 1300607968 is about 36063.9427683663. The cubic root of 1300607968 is about 1091.5629929426.

Adding to 1300607968 its reverse (8697060031), we get a palindrome (9997667999).

The spelling of 1300607968 in words is "one billion, three hundred million, six hundred seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 79 88 158 176 316 352 632 869 1264 1738 2528 3476 6952 13904 27808 46771 93542 187084 374168 514481 748336 1028962 1496672 2057924 3694909 4115848 7389818 8231696 14779636 16463392 29559272 40643999 59118544 81287998 118237088 162575996 325151992 650303984 1300607968