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2126032728 = 233377332797
BaseRepresentation
bin111111010111000…
…1010111101011000
312111011111122121220
41332232022331120
513323231021403
6550544132040
7103453660101
oct17656127530
95434448556
102126032728
119a10a9946
124b4007020
1327b604141
141625053a8
15c69aa953
hex7eb8af58

2126032728 has 64 divisors (see below), whose sum is σ = 5533678560. Its totient is φ = 680057856.

The previous prime is 2126032723. The next prime is 2126032747. The reversal of 2126032728 is 8272306212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126032723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48426 + ... + 81222.

Almost surely, 22126032728 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 2126032728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766839280).

2126032728 is an abundant number, since it is smaller than the sum of its proper divisors (3407645832).

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

2126032728 is a wasteful number, since it uses less digits than its factorization.

2126032728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32916 (or 32912 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2126032728 is about 46108.9224337329. The cubic root of 2126032728 is about 1285.8490309714.

The spelling of 2126032728 in words is "two billion, one hundred twenty-six million, thirty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 73 74 111 146 148 219 222 292 296 438 444 584 876 888 1752 2701 5402 8103 10804 16206 21608 32412 32797 64824 65594 98391 131188 196782 262376 393564 787128 1213489 2394181 2426978 3640467 4788362 4853956 7182543 7280934 9576724 9707912 14365086 14561868 19153448 28730172 29123736 57460344 88584697 177169394 265754091 354338788 531508182 708677576 1063016364 2126032728