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455550060 = 223572891741
BaseRepresentation
bin11011001001110…
…010010001101100
31011202012100012110
4123021302101230
51413110100220
6113112004020
714201053200
oct3311622154
91152170173
10455550060
11214167559
12108690610
13734c0c64
1444704b00
1529ed7be0
hex1b27246c

455550060 has 144 divisors (see below), whose sum is σ = 1501325280. Its totient is φ = 102896640.

The previous prime is 455550047. The next prime is 455550077. The reversal of 455550060 is 60055554.

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

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, 260790 + ... + 262530.

It is an arithmetic number, because the mean of its divisors is an integer number (10425870).

Almost surely, 2455550060 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 455550060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750662640).

455550060 is an abundant number, since it is smaller than the sum of its proper divisors (1045775220).

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

455550060 is a wasteful number, since it uses less digits than its factorization.

455550060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The square root of 455550060 is about 21343.6187184835. The cubic root of 455550060 is about 769.4469858403.

It can be divided in two parts, 4555 and 50060, that added together give a triangular number (54615 = T330).

The spelling of 455550060 in words is "four hundred fifty-five million, five hundred fifty thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 89 98 105 140 147 178 196 210 245 267 294 356 420 445 490 534 588 623 735 890 980 1068 1246 1335 1470 1741 1780 1869 2492 2670 2940 3115 3482 3738 4361 5223 5340 6230 6964 7476 8705 8722 9345 10446 12187 12460 13083 17410 17444 18690 20892 21805 24374 26115 26166 34820 36561 37380 43610 48748 52230 52332 60935 65415 73122 85309 87220 104460 121870 130830 146244 154949 170618 182805 243740 255927 261660 309898 341236 365610 426545 464847 511854 619796 731220 774745 853090 929694 1023708 1084643 1279635 1549490 1706180 1859388 2169286 2324235 2559270 3098980 3253929 4338572 4648470 5118540 5423215 6507858 7592501 9296940 10846430 13015716 15185002 16269645 21692860 22777503 30370004 32539290 37962505 45555006 65078580 75925010 91110012 113887515 151850020 227775030 455550060