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2305064020 = 225743463827
BaseRepresentation
bin1000100101100100…
…0111110001010100
312221122101101101111
42021121013301110
514210044022040
61020421304404
7111056502160
oct21131076124
95848341344
102305064020
11a8316a796
12543b65104
132a972910c
1417c1c9ca0
15d7571dea
hex89647c54

2305064020 has 96 divisors (see below), whose sum is σ = 5679894528. Its totient is φ = 769329792.

The previous prime is 2305063997. The next prime is 2305064029. The reversal of 2305064020 is 204605032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2305063982 and 2305064000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2305064029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2786847 + ... + 2787673.

It is an arithmetic number, because the mean of its divisors is an integer number (59165568).

Almost surely, 22305064020 is an apocalyptic number.

2305064020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2305064020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839947264).

2305064020 is an abundant number, since it is smaller than the sum of its proper divisors (3374830508).

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

2305064020 is a wasteful number, since it uses less digits than its factorization.

2305064020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2305064020 is about 48011.0822623277. The cubic root of 2305064020 is about 1320.9741852023.

Adding to 2305064020 its reverse (204605032), we get a palindrome (2509669052).

The spelling of 2305064020 in words is "two billion, three hundred five million, sixty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 463 602 827 860 926 1204 1505 1654 1852 2315 3010 3241 3308 4135 4630 5789 6020 6482 8270 9260 11578 12964 16205 16540 19909 23156 28945 32410 35561 39818 57890 64820 71122 79636 99545 115780 139363 142244 177805 199090 248927 278726 355610 382901 398180 497854 557452 696815 711220 765802 995708 1244635 1393630 1531604 1914505 2489270 2680307 2787260 3829010 4978540 5360614 7658020 10721228 13401535 16464743 26803070 32929486 53606140 65858972 82323715 115253201 164647430 230506402 329294860 461012804 576266005 1152532010 2305064020