Search a number
-
+
20308586580 = 223251741161873
BaseRepresentation
bin10010111010011111…
…000111000001010100
31221102100012002110100
4102322133013001110
5313042444232310
613155111254100
71316160065142
oct227237070124
957370162410
1020308586580
118681738757
123b2937a330
131bb85c0b49
14da9292592
157dcdc3ec0
hex4ba7c7054

20308586580 has 144 divisors (see below), whose sum is σ = 66817702224. Its totient is φ = 4972707840.

The previous prime is 20308586567. The next prime is 20308586591. The reversal of 20308586580 is 8568580302.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3532638096 + 16775948484 = 59436^2 + 129522^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44524 + ... + 206396.

It is an arithmetic number, because the mean of its divisors is an integer number (464011821).

Almost surely, 220308586580 is an apocalyptic number.

20308586580 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 20308586580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33408851112).

20308586580 is an abundant number, since it is smaller than the sum of its proper divisors (46509115644).

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

20308586580 is a wasteful number, since it uses less digits than its factorization.

20308586580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161946 (or 161941 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 20308586580 in words is "twenty billion, three hundred eight million, five hundred eighty-six thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 41 45 51 60 68 82 85 90 102 123 153 164 170 180 204 205 246 255 306 340 369 410 492 510 612 615 697 738 765 820 1020 1230 1394 1476 1530 1845 2091 2460 2788 3060 3485 3690 4182 6273 6970 7380 8364 10455 12546 13940 20910 25092 31365 41820 62730 125460 161873 323746 485619 647492 809365 971238 1456857 1618730 1942476 2428095 2751841 2913714 3237460 4856190 5503682 5827428 6636793 7284285 8255523 9712380 11007364 13273586 13759205 14568570 16511046 19910379 24766569 26547172 27518410 29137140 33022092 33183965 39820758 41277615 49533138 55036820 59731137 66367930 79641516 82555230 99066276 99551895 112825481 119462274 123832845 132735860 165110460 199103790 225650962 238924548 247665690 298655685 338476443 398207580 451301924 495331380 564127405 597311370 676952886 1015429329 1128254810 1194622740 1353905772 1692382215 2030858658 2256509620 3384764430 4061717316 5077146645 6769528860 10154293290 20308586580