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1300130240 = 26518122447
BaseRepresentation
bin100110101111110…
…0110100111000000
310100121102110101212
41031133212213000
510130313131430
6333002145252
744134632113
oct11537464700
93317373355
101300130240
11607987102
123034b2228
13179482346
14c495657a
1579218b95
hex4d7e69c0

1300130240 has 56 divisors (see below), whose sum is σ = 3113178432. Its totient is φ = 517155840.

The previous prime is 1300130239. The next prime is 1300130261. The reversal of 1300130240 is 420310031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46697 + ... + 69143.

It is an arithmetic number, because the mean of its divisors is an integer number (55592472).

Almost surely, 21300130240 is an apocalyptic number.

1300130240 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 1300130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556589216).

1300130240 is an abundant number, since it is smaller than the sum of its proper divisors (1813048192).

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

1300130240 is a wasteful number, since it uses less digits than its factorization.

1300130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22645 (or 22635 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1300130240 is about 36057.3188132451. The cubic root of 1300130240 is about 1091.4293287694.

Adding to 1300130240 its reverse (420310031), we get a palindrome (1720440271).

The spelling of 1300130240 in words is "one billion, three hundred million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 181 320 362 724 905 1448 1810 2896 3620 5792 7240 11584 14480 22447 28960 44894 57920 89788 112235 179576 224470 359152 448940 718304 897880 1436608 1795760 3591520 4062907 7183040 8125814 16251628 20314535 32503256 40629070 65006512 81258140 130013024 162516280 260026048 325032560 650065120 1300130240