Search a number
-
+
2105708544 = 212322392
BaseRepresentation
bin111110110000010…
…1001000000000000
312102202021002002100
41331200221000000
513303030133134
6544540350400
7103116140652
oct17540510000
95382232070
102105708544
11990687aa5
124a9245400
132773392b4
1415d9346d2
15c4ce3999
hex7d829000

2105708544 has 117 divisors (see below), whose sum is σ = 6107971363. Its totient is φ = 698966016.

The previous prime is 2105708513. The next prime is 2105708639. The reversal of 2105708544 is 4458075012.

The square root of 2105708544 is 45888.

It is a perfect power (a square), and thus also a powerful number.

2105708544 is a `hidden beast` number, since 2 + 1 + 0 + 570 + 85 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2105708499 and 2105708508.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8810377 + ... + 8810615.

Almost surely, 22105708544 is an apocalyptic number.

2105708544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2105708544 is the 45888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105708544

2105708544 is an abundant number, since it is smaller than the sum of its proper divisors (4002262819).

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

2105708544 is an frugal number, since it uses more digits than its factorization.

2105708544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The cubic root of 2105708544 is about 1281.7384711067.

Multiplying 2105708544 by its sum of digits (36), we get a square (75805507584 = 2753282).

2105708544 divided by its sum of digits (36) gives a square (58491904 = 76482).

It can be divided in two parts, 2105 and 708544, that added together give a square (710649 = 8432).

The spelling of 2105708544 in words is "two billion, one hundred five million, seven hundred eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 239 256 288 384 478 512 576 717 768 956 1024 1152 1434 1536 1912 2048 2151 2304 2868 3072 3824 4096 4302 4608 5736 6144 7648 8604 9216 11472 12288 15296 17208 18432 22944 30592 34416 36864 45888 57121 61184 68832 91776 114242 122368 137664 171363 183552 228484 244736 275328 342726 367104 456968 489472 514089 550656 685452 734208 913936 978944 1028178 1101312 1370904 1468416 1827872 2056356 2202624 2741808 2936832 3655744 4112712 4405248 5483616 7311488 8225424 8810496 10967232 14622976 16450848 21934464 29245952 32901696 43868928 58491904 65803392 87737856 116983808 131606784 175475712 233967616 263213568 350951424 526427136 701902848 1052854272 2105708544