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1338252080 = 245111980039
BaseRepresentation
bin100111111000100…
…0001101100110000
310110021011020201212
41033301001230300
510220043031310
6340443215252
745106645364
oct11761015460
93407136655
101338252080
11627454660
12314217528
1318433c049
14c9a3b2a4
157c749205
hex4fc41b30

1338252080 has 80 divisors (see below), whose sum is σ = 3572985600. Its totient is φ = 461018880.

The previous prime is 1338252029. The next prime is 1338252089. The reversal of 1338252080 is 802528331.

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

It is not an unprimeable number, because it can be changed into a prime (1338252089) 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, 23300 + ... + 56739.

It is an arithmetic number, because the mean of its divisors is an integer number (44662320).

Almost surely, 21338252080 is an apocalyptic number.

1338252080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338252080 is an abundant number, since it is smaller than the sum of its proper divisors (2234733520).

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

1338252080 is a wasteful number, since it uses less digits than its factorization.

1338252080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80082 (or 80076 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1338252080 is about 36582.1278768745. The cubic root of 1338252080 is about 1101.9942006913.

The spelling of 1338252080 in words is "one billion, three hundred thirty-eight million, two hundred fifty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 304 380 418 440 760 836 880 1045 1520 1672 2090 3344 4180 8360 16720 80039 160078 320156 400195 640312 800390 880429 1280624 1520741 1600780 1760858 3041482 3201560 3521716 4402145 6082964 6403120 7043432 7603705 8804290 12165928 14086864 15207410 16728151 17608580 24331856 30414820 33456302 35217160 60829640 66912604 70434320 83640755 121659280 133825208 167281510 267650416 334563020 669126040 1338252080