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830254620 = 2235136715887
BaseRepresentation
bin110001011111001…
…010111000011100
32010212021022020010
4301133022320130
53200021121440
6214215123220
726401022256
oct6137127034
92125238203
10830254620
11396725648
121b2073510
13103016a30
147c3a2cd6
154cd51580
hex317cae1c

830254620 has 96 divisors (see below), whose sum is σ = 2541063168. Its totient is φ = 201307392.

The previous prime is 830254613. The next prime is 830254639. The reversal of 830254620 is 26452038.

It is a super-3 number, since 3×8302546203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 44317 + ... + 60203.

It is an arithmetic number, because the mean of its divisors is an integer number (26469408).

Almost surely, 2830254620 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 830254620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270531584).

830254620 is an abundant number, since it is smaller than the sum of its proper divisors (1710808548).

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

830254620 is a wasteful number, since it uses less digits than its factorization.

830254620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15979 (or 15977 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 830254620 is about 28814.1392375341. The cubic root of 830254620 is about 939.8757267430.

The spelling of 830254620 in words is "eight hundred thirty million, two hundred fifty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 67 78 130 134 156 195 201 260 268 335 390 402 670 780 804 871 1005 1340 1742 2010 2613 3484 4020 4355 5226 8710 10452 13065 15887 17420 26130 31774 47661 52260 63548 79435 95322 158870 190644 206531 238305 317740 413062 476610 619593 826124 953220 1032655 1064429 1239186 2065310 2128858 2478372 3097965 3193287 4130620 4257716 5322145 6195930 6386574 10644290 12391860 12773148 13837577 15966435 21288580 27675154 31932870 41512731 55350308 63865740 69187885 83025462 138375770 166050924 207563655 276751540 415127310 830254620