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2130764412 = 2237212232963
BaseRepresentation
bin111111100000000…
…1110001001111100
312111111102001021110
41333000032021330
513330433430122
6551233402020
7103542125100
oct17700161174
95444361243
102130764412
119a3840927
124b5709310
1327c59ca5a
14162db7900
15c70e290c
hex7f00e27c

2130764412 has 72 divisors (see below), whose sum is σ = 5790185856. Its totient is φ = 608086752.

The previous prime is 2130764407. The next prime is 2130764491. The reversal of 2130764412 is 2144670312.

It is a self number, because there is not a number n which added to its sum of digits gives 2130764412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 717643 + ... + 720605.

It is an arithmetic number, because the mean of its divisors is an integer number (80419248).

Almost surely, 22130764412 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 2130764412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895092928).

2130764412 is an abundant number, since it is smaller than the sum of its proper divisors (3659421444).

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

2130764412 is a wasteful number, since it uses less digits than its factorization.

2130764412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4207 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2130764412 is about 46160.2037690476. The cubic root of 2130764412 is about 1286.8022497851.

The spelling of 2130764412 in words is "two billion, one hundred thirty million, seven hundred sixty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1223 2446 2963 3669 4892 5926 7338 8561 8889 11852 14676 17122 17778 20741 25683 34244 35556 41482 51366 59927 62223 82964 102732 119854 124446 145187 179781 239708 248892 290374 359562 435561 580748 719124 871122 1742244 3623749 7247498 10871247 14494996 21742494 25366243 43484988 50732486 76098729 101464972 152197458 177563701 304394916 355127402 532691103 710254804 1065382206 2130764412