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1320880380 = 2235191796473
BaseRepresentation
bin100111010111011…
…0000100011111100
310102001110200020120
41032232300203330
510201121133010
6335023014540
744506204131
oct11656604374
93361420216
101320880380
11618669a86
1230a43a450
13180869031
14c75d8588
157ae66e70
hex4ebb08fc

1320880380 has 96 divisors (see below), whose sum is σ = 3915475200. Its totient is φ = 331780608.

The previous prime is 1320880373. The next prime is 1320880403. The reversal of 1320880380 is 830880231.

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 31 ways as a sum of consecutive naturals, for example, 200824 + ... + 207296.

It is an arithmetic number, because the mean of its divisors is an integer number (40786200).

Almost surely, 21320880380 is an apocalyptic number.

1320880380 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 1320880380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957737600).

1320880380 is an abundant number, since it is smaller than the sum of its proper divisors (2594594820).

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

1320880380 is a wasteful number, since it uses less digits than its factorization.

1320880380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6683 (or 6681 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1320880380 is about 36343.9180606604. The cubic root of 1320880380 is about 1097.2051307330.

The spelling of 1320880380 in words is "one billion, three hundred twenty million, eight hundred eighty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 179 190 228 285 358 380 537 570 716 895 1074 1140 1790 2148 2685 3401 3580 5370 6473 6802 10203 10740 12946 13604 17005 19419 20406 25892 32365 34010 38838 40812 51015 64730 68020 77676 97095 102030 122987 129460 194190 204060 245974 368961 388380 491948 614935 737922 1158667 1229870 1475844 1844805 2317334 2459740 3476001 3689610 4634668 5793335 6952002 7379220 11586670 13904004 17380005 22014673 23173340 34760010 44029346 66044019 69520020 88058692 110073365 132088038 220146730 264176076 330220095 440293460 660440190 1320880380