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1330103808 = 2933118747
BaseRepresentation
bin100111101000111…
…1100011000000000
310102200211021102000
41033101330120000
510211001310213
6335552424000
744650460445
oct11721743000
93380737360
101330103808
11622899750
12311548000
13182748297
14c89199cc
157bb89c73
hex4f47c600

1330103808 has 160 divisors (see below), whose sum is σ = 4295617920. Its totient is φ = 403015680.

The previous prime is 1330103791. The next prime is 1330103813. The reversal of 1330103808 is 8083010331.

It is a super-2 number, since 2×13301038082 = 3538352280112201728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147691 + ... + 156437.

It is an arithmetic number, because the mean of its divisors is an integer number (26847612).

Almost surely, 21330103808 is an apocalyptic number.

1330103808 is a gapful number since it is divisible by the number (18) 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 1330103808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147808960).

1330103808 is an abundant number, since it is smaller than the sum of its proper divisors (2965514112).

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

1330103808 is an equidigital number, since it uses as much as digits as its factorization.

1330103808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8785 (or 8763 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1330103808 is about 36470.5882595825. The cubic root of 1330103808 is about 1099.7530597198.

The spelling of 1330103808 in words is "one billion, three hundred thirty million, one hundred three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 792 864 1056 1152 1188 1408 1536 1584 1728 2112 2304 2376 2816 3168 3456 4224 4608 4752 5632 6336 6912 8448 8747 9504 12672 13824 16896 17494 19008 25344 26241 34988 38016 50688 52482 69976 76032 78723 96217 104964 139952 152064 157446 192434 209928 236169 279904 288651 314892 384868 419856 472338 559808 577302 629784 769736 839712 865953 944676 1119616 1154604 1259568 1539472 1679424 1731906 1889352 2239232 2309208 2519136 2597859 3078944 3358848 3463812 3778704 4478464 4618416 5038272 5195718 6157888 6717696 6927624 7557408 9236832 10076544 10391436 12315776 13435392 13855248 15114816 18473664 20153088 20782872 24631552 27710496 30229632 36947328 40306176 41565744 49263104 55420992 60459264 73894656 83131488 110841984 120918528 147789312 166262976 221683968 332525952 443367936 665051904 1330103808