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1280001320 = 235133836427
BaseRepresentation
bin100110001001011…
…0100010100101000
310022012112210201022
41030102310110220
510110140020240
6331002512012
743501555163
oct11422642450
93265483638
101280001320
115a7588a34
122b8805608
13175255340
14c1dd6ada
157758e9b5
hex4c4b4528

1280001320 has 64 divisors (see below), whose sum is σ = 3110123520. Its totient is φ = 471308544.

The previous prime is 1280001319. The next prime is 1280001323. The reversal of 1280001320 is 231000821.

1280001320 is a modest number, since divided by 1320 gives 1280 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1280001323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195947 + ... + 202373.

It is an arithmetic number, because the mean of its divisors is an integer number (48595680).

Almost surely, 21280001320 is an apocalyptic number.

1280001320 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 1280001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555061760).

1280001320 is an abundant number, since it is smaller than the sum of its proper divisors (1830122200).

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

1280001320 is a wasteful number, since it uses less digits than its factorization.

1280001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6834 (or 6830 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1280001320 is about 35777.1060875527. The cubic root of 1280001320 is about 1085.7674198703.

The spelling of 1280001320 in words is "one billion, two hundred eighty million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 383 520 766 1532 1915 3064 3830 4979 6427 7660 9958 12854 15320 19916 24895 25708 32135 39832 49790 51416 64270 83551 99580 128540 167102 199160 257080 334204 417755 668408 835510 1671020 2461541 3342040 4923082 9846164 12307705 19692328 24615410 32000033 49230820 64000066 98461640 128000132 160000165 256000264 320000330 640000660 1280001320