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830512128 = 2103409661
BaseRepresentation
bin110001100000001…
…001110000000000
32010212202101110110
4301200021300000
53200102342003
6214224431320
726403144105
oct6140116000
92125671413
10830512128
11396891066
121b2178540
131030a6cc4
147c42caac
154cda2a03
hex31809c00

830512128 has 88 divisors (see below), whose sum is σ = 2222386960. Its totient is φ = 275742720.

The previous prime is 830512117. The next prime is 830512141. The reversal of 830512128 is 821215038.

It is a junction number, because it is equal to n+sod(n) for n = 830512095 and 830512104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1256118 + ... + 1256778.

Almost surely, 2830512128 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 830512128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111193480).

830512128 is an abundant number, since it is smaller than the sum of its proper divisors (1391874832).

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

830512128 is a wasteful number, since it uses less digits than its factorization.

830512128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 830512128 is about 28818.6073223534. The cubic root of 830512128 is about 939.9728858936.

The spelling of 830512128 in words is "eight hundred thirty million, five hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 409 512 661 768 818 1024 1227 1322 1536 1636 1983 2454 2644 3072 3272 3966 4908 5288 6544 7932 9816 10576 13088 15864 19632 21152 26176 31728 39264 42304 52352 63456 78528 84608 104704 126912 157056 169216 209408 253824 270349 314112 338432 418816 507648 540698 628224 676864 811047 1015296 1081396 1256448 1622094 2030592 2162792 3244188 4325584 6488376 8651168 12976752 17302336 25953504 34604672 51907008 69209344 103814016 138418688 207628032 276837376 415256064 830512128