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1306751220 = 22325191812111
BaseRepresentation
bin100110111100011…
…0111000011110100
310101001212211200100
41031320313003310
510134012014340
6333400114100
744245126215
oct11570670364
93331784610
101306751220
11610699595
12305765930
1317a95cb98
14c579b40c
1579ac5830
hex4de370f4

1306751220 has 144 divisors (see below), whose sum is σ = 4197473280. Its totient is φ = 328147200.

The previous prime is 1306751219. The next prime is 1306751261. The reversal of 1306751220 is 221576031.

It is a happy number.

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, 617965 + ... + 620075.

It is an arithmetic number, because the mean of its divisors is an integer number (29149120).

Almost surely, 21306751220 is an apocalyptic number.

1306751220 is a gapful number since it is divisible by the number (10) 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 1306751220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098736640).

1306751220 is an abundant number, since it is smaller than the sum of its proper divisors (2890722060).

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

1306751220 is a wasteful number, since it uses less digits than its factorization.

1306751220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1306751220 is about 36149.0140944397. The cubic root of 1306751220 is about 1093.2789125781.

The spelling of 1306751220 in words is "one billion, three hundred six million, seven hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 181 190 228 285 342 362 380 543 570 684 724 855 905 1086 1140 1629 1710 1810 2111 2172 2715 3258 3420 3439 3620 4222 5430 6333 6516 6878 8145 8444 10317 10555 10860 12666 13756 16290 17195 18999 20634 21110 25332 30951 31665 32580 34390 37998 40109 41268 42220 51585 61902 63330 68780 75996 80218 94995 103170 120327 123804 126660 154755 160436 189990 200545 206340 240654 309510 360981 379980 382091 401090 481308 601635 619020 721962 764182 802180 1146273 1203270 1443924 1528364 1804905 1910455 2292546 2406540 3438819 3609810 3820910 4585092 5731365 6877638 7219620 7259729 7641820 11462730 13755276 14519458 17194095 21779187 22925460 29038916 34388190 36298645 43558374 65337561 68776380 72597290 87116748 108895935 130675122 145194580 217791870 261350244 326687805 435583740 653375610 1306751220