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1320339280 = 2451310331229
BaseRepresentation
bin100111010110010…
…1100011101010000
310102000110011222211
41032230230131100
510201001324110
6335003241504
744501461441
oct11654543520
93360404884
101320339280
1161832a497
1230a219294
13180709960
14c74d72c8
157adab98a
hex4eb2c750

1320339280 has 80 divisors (see below), whose sum is σ = 3311819280. Its totient is φ = 486641664.

The previous prime is 1320339269. The next prime is 1320339313. The reversal of 1320339280 is 829330231.

It can be written as a sum of positive squares in 8 ways, for example, as 171400464 + 1148938816 = 13092^2 + 33896^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1073706 + ... + 1074934.

It is an arithmetic number, because the mean of its divisors is an integer number (41397741).

Almost surely, 21320339280 is an apocalyptic number.

1320339280 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 1320339280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655909640).

1320339280 is an abundant number, since it is smaller than the sum of its proper divisors (1991480000).

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

1320339280 is a wasteful number, since it uses less digits than its factorization.

1320339280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 1320339280 is about 36336.4731365057. The cubic root of 1320339280 is about 1097.0552865348.

The spelling of 1320339280 in words is "one billion, three hundred twenty million, three hundred thirty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1033 1040 1229 2066 2458 4132 4916 5165 6145 8264 9832 10330 12290 13429 15977 16528 19664 20660 24580 26858 31954 41320 49160 53716 63908 67145 79885 82640 98320 107432 127816 134290 159770 214864 255632 268580 319540 537160 639080 1074320 1269557 1278160 2539114 5078228 6347785 10156456 12695570 16504241 20312912 25391140 33008482 50782280 66016964 82521205 101564560 132033928 165042410 264067856 330084820 660169640 1320339280