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534115128 = 233372632287
BaseRepresentation
bin11111110101011…
…111001100111000
31101020000212012210
4133311133030320
52043213141003
6124555535120
716143621651
oct3765371470
91336025183
10534115128
11254548668
1212aa5a4a0
138686b171
1450d16528
1531d56503
hex1fd5f338

534115128 has 64 divisors (see below), whose sum is σ = 1377192960. Its totient is φ = 172492416.

The previous prime is 534115123. The next prime is 534115181. The reversal of 534115128 is 821511435.

It is a junction number, because it is equal to n+sod(n) for n = 534115095 and 534115104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534115123) 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, 232401 + ... + 234687.

It is an arithmetic number, because the mean of its divisors is an integer number (21518640).

Almost surely, 2534115128 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 534115128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688596480).

534115128 is an abundant number, since it is smaller than the sum of its proper divisors (843077832).

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

534115128 is a wasteful number, since it uses less digits than its factorization.

534115128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2592 counting only the distinct ones).

The product of its digits is 4800, while the sum is 30.

The square root of 534115128 is about 23110.9309202377. The cubic root of 534115128 is about 811.3563253731.

The spelling of 534115128 in words is "five hundred thirty-four million, one hundred fifteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 263 296 444 526 789 888 1052 1578 2104 2287 3156 4574 6312 6861 9148 9731 13722 18296 19462 27444 29193 38924 54888 58386 77848 84619 116772 169238 233544 253857 338476 507714 601481 676952 1015428 1202962 1804443 2030856 2405924 3608886 4811848 7217772 14435544 22254797 44509594 66764391 89019188 133528782 178038376 267057564 534115128