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1300940920 = 235432712791
BaseRepresentation
bin100110110001010…
…1100100001111000
310100122221122110001
41031202230201320
510131020102140
6333031402344
744144546446
oct11542544170
93318848401
101300940920
11608390194
123038233b4
131796a7336
14c4ac7b96
1579328e9a
hex4d8ac878

1300940920 has 64 divisors (see below), whose sum is σ = 3007319040. Its totient is φ = 506217600.

The previous prime is 1300940891. The next prime is 1300940951. The reversal of 1300940920 is 290490031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464725 + ... + 467515.

It is an arithmetic number, because the mean of its divisors is an integer number (46989360).

Almost surely, 21300940920 is an apocalyptic number.

1300940920 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 1300940920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503659520).

1300940920 is an abundant number, since it is smaller than the sum of its proper divisors (1706378120).

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

1300940920 is a wasteful number, since it uses less digits than its factorization.

1300940920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 1300940920 is about 36068.5586071858. The cubic root of 1300940920 is about 1091.6561306858.

The spelling of 1300940920 in words is "one billion, three hundred million, nine hundred forty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 271 344 430 542 860 1084 1355 1720 2168 2710 2791 5420 5582 10840 11164 11653 13955 22328 23306 27910 46612 55820 58265 93224 111640 116530 120013 233060 240026 466120 480052 600065 756361 960104 1200130 1512722 2400260 3025444 3781805 4800520 6050888 7563610 15127220 30254440 32523523 65047046 130094092 162617615 260188184 325235230 650470460 1300940920