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1318764020 = 225753223797
BaseRepresentation
bin100111010011010…
…1011110111110100
310101220111011010212
41032212223313310
510200100422040
6334505404552
744452211030
oct11646536764
93356434125
101318764020
11617453a22
12309799758
131802a7952
14c72071c0
157ab99d65
hex4e9abdf4

1318764020 has 96 divisors (see below), whose sum is σ = 3243276288. Its totient is φ = 441073152.

The previous prime is 1318764017. The next prime is 1318764049. The reversal of 1318764020 is 204678131.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1654262 + ... + 1655058.

It is an arithmetic number, because the mean of its divisors is an integer number (33784128).

Almost surely, 21318764020 is an apocalyptic number.

1318764020 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 1318764020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621638144).

1318764020 is an abundant number, since it is smaller than the sum of its proper divisors (1924512268).

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

1318764020 is a wasteful number, since it uses less digits than its factorization.

1318764020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 1318764020 is about 36314.7906506426. The cubic root of 1318764020 is about 1096.6188242151.

The spelling of 1318764020 in words is "one billion, three hundred eighteen million, seven hundred sixty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 223 265 371 446 530 742 797 892 1060 1115 1484 1561 1594 1855 2230 3122 3188 3710 3985 4460 5579 6244 7420 7805 7970 11158 11819 15610 15940 22316 23638 27895 31220 42241 47276 55790 59095 82733 84482 111580 118190 165466 168964 177731 211205 236380 295687 330932 355462 413665 422410 591374 710924 827330 844820 888655 1182748 1244117 1478435 1654660 1777310 2488234 2956870 3554620 4976468 5913740 6220585 9419743 12441170 18839486 24882340 37678972 47098715 65938201 94197430 131876402 188394860 263752804 329691005 659382010 1318764020