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2130795296 = 25728333613
BaseRepresentation
bin111111100000001…
…0101101100100000
312111111110121122022
41333000111230200
513330440422141
6551234201012
7103542314120
oct17700255440
95444417568
102130795296
119a3862053
124b5723168
1327c5b0b26
14162dc4c80
15c70ebb4b
hex7f015b20

2130795296 has 48 divisors (see below), whose sum is σ = 4811373504. Its totient is φ = 909944064.

The previous prime is 2130795253. The next prime is 2130795311. The reversal of 2130795296 is 6925970312.

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, 46586 + ... + 80198.

It is an arithmetic number, because the mean of its divisors is an integer number (100236948).

Almost surely, 22130795296 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 2130795296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405686752).

2130795296 is an abundant number, since it is smaller than the sum of its proper divisors (2680578208).

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

2130795296 is a wasteful number, since it uses less digits than its factorization.

2130795296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33913 (or 33905 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 2130795296 is about 46160.5382984211. The cubic root of 2130795296 is about 1286.8084668667.

The spelling of 2130795296 in words is "two billion, one hundred thirty million, seven hundred ninety-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 283 566 1132 1981 2264 3962 4528 7924 9056 15848 31696 33613 63392 67226 134452 235291 268904 470582 537808 941164 1075616 1882328 3764656 7529312 9512479 19024958 38049916 66587353 76099832 133174706 152199664 266349412 304399328 532698824 1065397648 2130795296