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2130043432 = 2311236911523
BaseRepresentation
bin111111011110101…
…1110001000101000
312111110001102021111
41332331132020220
513330242342212
6551210120104
7103533033106
oct17675361050
95443042244
102130043432
119a3399180
124b5420034
1327c3a983a
14162c6ac76
15c6eedea7
hex7ef5e228

2130043432 has 64 divisors (see below), whose sum is σ = 4555906560. Its totient is φ = 924158400.

The previous prime is 2130043427. The next prime is 2130043453. The reversal of 2130043432 is 2343400312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 1397823 + ... + 1399345.

It is an arithmetic number, because the mean of its divisors is an integer number (71186040).

Almost surely, 22130043432 is an apocalyptic number.

2130043432 is a gapful number since it is divisible by the number (22) 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 2130043432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277953280).

2130043432 is an abundant number, since it is smaller than the sum of its proper divisors (2425863128).

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

2130043432 is a wasteful number, since it uses less digits than its factorization.

2130043432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2130043432 is about 46152.3935673980. The cubic root of 2130043432 is about 1286.6570963460.

Adding to 2130043432 its reverse (2343400312), we get a palindrome (4473443744).

The spelling of 2130043432 in words is "two billion, one hundred thirty million, forty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 691 1012 1382 1523 2024 2764 3046 5528 6092 7601 12184 15202 15893 16753 30404 31786 33506 35029 60808 63572 67012 70058 127144 134024 140116 174823 280232 349646 385319 699292 770638 1052393 1398584 1541276 2104786 3082552 4209572 8419144 11576323 23152646 24205039 46305292 48410078 92610584 96820156 193640312 266255429 532510858 1065021716 2130043432