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830253030 = 23543751857
BaseRepresentation
bin110001011111001…
…010011111100110
32010212021020001020
4301133022133212
53200021044110
6214215112010
726401014525
oct6137123746
92125236036
10830253030
11396724432
121b2072606
131030160a9
147c3a24bc
154cd50d70
hex317ca7e6

830253030 has 64 divisors (see below), whose sum is σ = 2044044288. Its totient is φ = 215712000.

The previous prime is 830253029. The next prime is 830253041. The reversal of 830253030 is 30352038.

It is a Curzon number.

It is a congruent number.

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, 968362 + ... + 969218.

It is an arithmetic number, because the mean of its divisors is an integer number (31938192).

Almost surely, 2830253030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830253030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022022144).

830253030 is an abundant number, since it is smaller than the sum of its proper divisors (1213791258).

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

830253030 is a wasteful number, since it uses less digits than its factorization.

830253030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 830253030 is about 28814.1116468997. Note that the first 3 decimals coincide. The cubic root of 830253030 is about 939.8751267650.

The spelling of 830253030 in words is "eight hundred thirty million, two hundred fifty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 751 857 1290 1502 1714 2253 2571 3755 4285 4506 5142 7510 8570 11265 12855 22530 25710 32293 36851 64586 73702 96879 110553 161465 184255 193758 221106 322930 368510 484395 552765 643607 968790 1105530 1287214 1930821 3218035 3861642 6436070 9654105 19308210 27675101 55350202 83025303 138375505 166050606 276751010 415126515 830253030