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1297361280 = 27355411249
BaseRepresentation
bin100110101010100…
…0010100110000000
310100102012210002210
41031111002212000
510124111030110
6332422542120
744102250255
oct11525024600
93312183083
101297361280
11606365806
12302597940
13178a22bc7
14c443542c
1578d6d520
hex4d542980

1297361280 has 128 divisors (see below), whose sum is σ = 4146300000. Its totient is φ = 345047040.

The previous prime is 1297361269. The next prime is 1297361293. The reversal of 1297361280 is 821637921.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1038096 + ... + 1039344.

Almost surely, 21297361280 is an apocalyptic number.

1297361280 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 1297361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073150000).

1297361280 is an abundant number, since it is smaller than the sum of its proper divisors (2848938720).

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

1297361280 is a wasteful number, since it uses less digits than its factorization.

1297361280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1297361280 is about 36018.9017045218. The cubic root of 1297361280 is about 1090.6539520506.

The spelling of 1297361280 in words is "one billion, two hundred ninety-seven million, three hundred sixty-one thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 541 640 960 1082 1249 1623 1920 2164 2498 2705 3246 3747 4328 4996 5410 6245 6492 7494 8115 8656 9992 10820 12490 12984 14988 16230 17312 18735 19984 21640 24980 25968 29976 32460 34624 37470 39968 43280 49960 51936 59952 64920 69248 74940 79936 86560 99920 103872 119904 129840 149880 159872 173120 199840 207744 239808 259680 299760 346240 399680 479616 519360 599520 675709 799360 1038720 1199040 1351418 2027127 2398080 2702836 3378545 4054254 5405672 6757090 8108508 10135635 10811344 13514180 16217016 20271270 21622688 27028360 32434032 40542540 43245376 54056720 64868064 81085080 86490752 108113440 129736128 162170160 216226880 259472256 324340320 432453760 648680640 1297361280