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2134761928 = 2313233128789
BaseRepresentation
bin111111100111101…
…1110000111001000
312111202221010211121
41333033132013020
513332444340203
6551455205024
7103621114465
oct17717360710
95452833747
102134761928
119a6021262
124b6b16774
1328036c450
1416373866c
15c76320bd
hex7f3de1c8

2134761928 has 64 divisors (see below), whose sum is σ = 4643251200. Its totient is φ = 912003840.

The previous prime is 2134761913. The next prime is 2134761947. The reversal of 2134761928 is 8291674312.

It is an unprimeable number.

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, 59758 + ... + 88546.

It is an arithmetic number, because the mean of its divisors is an integer number (72550800).

Almost surely, 22134761928 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 2134761928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321625600).

2134761928 is an abundant number, since it is smaller than the sum of its proper divisors (2508489272).

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

2134761928 is a wasteful number, since it uses less digits than its factorization.

2134761928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28862 (or 28858 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 2134761928 is about 46203.4839379023. The cubic root of 2134761928 is about 1287.6064680611.

The spelling of 2134761928 in words is "two billion, one hundred thirty-four million, seven hundred sixty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 23 26 31 46 52 62 92 104 124 184 248 299 403 598 713 806 1196 1426 1612 2392 2852 3224 5704 9269 18538 28789 37076 57578 74152 115156 230312 374257 662147 748514 892459 1324294 1497028 1784918 2648588 2994056 3569836 5297176 7139672 8607911 11601967 17215822 20526557 23203934 34431644 41053114 46407868 68863288 82106228 92815736 164212456 266845241 533690482 1067380964 2134761928