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534659840 = 285111323127
BaseRepresentation
bin11111110111100…
…100001100000000
31101021001112102022
4133313210030000
52043333103330
6125015341012
716151351021
oct3767441400
91337045368
10534659840
1125488a940
1212b081768
13869cc090
1451018c48
1531e12ae5
hex1fde4300

534659840 has 288 divisors, whose sum is σ = 1582350336. Its totient is φ = 170311680.

The previous prime is 534659837. The next prime is 534659857. The reversal of 534659840 is 48956435.

It is a super-2 number, since 2×5346598402 = 571722289017651200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 534659791 and 534659800.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4209857 + ... + 4209983.

It is an arithmetic number, because the mean of its divisors is an integer number (5494272).

Almost surely, 2534659840 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 534659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791175168).

534659840 is an abundant number, since it is smaller than the sum of its proper divisors (1047690496).

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

534659840 is a wasteful number, since it uses less digits than its factorization.

534659840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 534659840 is about 23122.7126436325. The cubic root of 534659840 is about 811.6320495552.

The spelling of 534659840 in words is "five hundred thirty-four million, six hundred fifty-nine thousand, eight hundred forty".