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305061020 = 2251147163181
BaseRepresentation
bin10010001011101…
…101110010011100
3210021000201001022
4102023231302130
51111043423040
650134303312
710362655505
oct2213556234
9707021038
10305061020
11147220950
12861b7b38
134b2805a4
142c72dbac
151bbad6b5
hex122edc9c

305061020 has 96 divisors (see below), whose sum is σ = 722082816. Its totient is φ = 107308800.

The previous prime is 305061019. The next prime is 305061047. The reversal of 305061020 is 20160503.

It is a self number, because there is not a number n which added to its sum of digits gives 305061020.

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, 1685330 + ... + 1685510.

It is an arithmetic number, because the mean of its divisors is an integer number (7521696).

Almost surely, 2305061020 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 305061020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361041408).

305061020 is an abundant number, since it is smaller than the sum of its proper divisors (417021796).

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

305061020 is a wasteful number, since it uses less digits than its factorization.

305061020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 305061020 is about 17465.9961067212. The cubic root of 305061020 is about 673.1764368831.

The spelling of 305061020 in words is "three hundred five million, sixty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 163 181 188 220 235 326 362 470 517 652 724 815 905 940 1034 1630 1793 1810 1991 2068 2585 3260 3586 3620 3982 5170 7172 7661 7964 8507 8965 9955 10340 15322 17014 17930 19910 29503 30644 34028 35860 38305 39820 42535 59006 76610 84271 85070 93577 118012 147515 153220 168542 170140 187154 295030 324533 337084 374308 421355 467885 590060 649066 842710 935770 1298132 1386641 1622665 1685420 1871540 2773282 3245330 5546564 6490660 6933205 13866410 15253051 27732820 30506102 61012204 76265255 152530510 305061020