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1366964220 = 2235172312543
BaseRepresentation
bin101000101111010…
…0011011111111100
310112021011222101110
41101132203133330
510244420323340
6343350442020
745606001266
oct12136433774
93467158343
101366964220
116416854a6
12321963310
1318a282a8b
14cd792b36
158001b680
hex517a37fc

1366964220 has 144 divisors (see below), whose sum is σ = 4198699008. Its totient is φ = 331883520.

The previous prime is 1366964197. The next prime is 1366964227. The reversal of 1366964220 is 224696631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1366964227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536269 + ... + 538811.

It is an arithmetic number, because the mean of its divisors is an integer number (29157632).

Almost surely, 21366964220 is an apocalyptic number.

1366964220 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 1366964220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099349504).

1366964220 is an abundant number, since it is smaller than the sum of its proper divisors (2831734788).

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

1366964220 is a wasteful number, since it uses less digits than its factorization.

1366964220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 1366964220 is about 36972.4792244177. The cubic root of 1366964220 is about 1109.8195794738.

The spelling of 1366964220 in words is "one billion, three hundred sixty-six million, nine hundred sixty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 289 310 340 372 465 510 527 578 620 867 930 1020 1054 1156 1445 1581 1734 1860 2108 2543 2635 2890 3162 3468 4335 5086 5270 5780 6324 7629 7905 8670 8959 10172 10540 12715 15258 15810 17340 17918 25430 26877 30516 31620 35836 38145 43231 44795 50860 53754 76290 78833 86462 89590 107508 129693 134385 152580 157666 172924 179180 216155 236499 259386 268770 315332 394165 432310 472998 518772 537540 648465 734927 788330 864620 945996 1182495 1296930 1340161 1469854 1576660 2204781 2364990 2593860 2680322 2939708 3674635 4020483 4409562 4729980 5360644 6700805 7349270 8040966 8819124 11023905 13401610 14698540 16081932 20102415 22047810 22782737 26803220 40204830 44095620 45565474 68348211 80409660 91130948 113913685 136696422 227827370 273392844 341741055 455654740 683482110 1366964220