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830888460 = 22325131167211
BaseRepresentation
bin110001100001100…
…101101000001100
32010220110111200200
4301201211220030
53200201412320
6214240453500
726406302223
oct6141455014
92126414620
10830888460
11397018886
121b231a290
131031a939c
147c4c9cba
154ce29290
hex31865a0c

830888460 has 144 divisors (see below), whose sum is σ = 2566916352. Its totient is φ = 217526400.

The previous prime is 830888407. The next prime is 830888477. The reversal of 830888460 is 64888038.

It is a super-2 number, since 2×8308884602 = 1380751265922343200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3937755 + ... + 3937965.

It is an arithmetic number, because the mean of its divisors is an integer number (17825808).

Almost surely, 2830888460 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 830888460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283458176).

830888460 is an abundant number, since it is smaller than the sum of its proper divisors (1736027892).

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

830888460 is a wasteful number, since it uses less digits than its factorization.

830888460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 830888460 is about 28825.1359060109. The cubic root of 830888460 is about 940.1148418615.

The spelling of 830888460 in words is "eight hundred thirty million, eight hundred eighty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 167 180 211 262 334 393 422 501 524 633 655 668 786 835 844 1002 1055 1179 1266 1310 1503 1572 1670 1899 1965 2004 2110 2358 2505 2532 2620 3006 3165 3340 3798 3930 4220 4716 5010 5895 6012 6330 7515 7596 7860 9495 10020 11790 12660 15030 18990 21877 23580 27641 30060 35237 37980 43754 55282 65631 70474 82923 87508 105711 109385 110564 131262 138205 140948 165846 176185 196893 211422 218770 248769 262524 276410 317133 328155 331692 352370 393786 414615 422844 437540 497538 528555 552820 634266 656310 704740 787572 829230 984465 995076 1057110 1243845 1268532 1312620 1585665 1658460 1968930 2114220 2487690 3171330 3937860 4616047 4975380 6342660 9232094 13848141 18464188 23080235 27696282 41544423 46160470 55392564 69240705 83088846 92320940 138481410 166177692 207722115 276962820 415444230 830888460