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1349717760 = 28325117163
BaseRepresentation
bin101000001110011…
…0000111100000000
310111001201202200200
41100130300330000
510231011432020
6341533045200
745306261126
oct12034607400
93431652620
101349717760
11632975a26
12318026800
13186824a81
14cb383916
157d761590
hex50730f00

1349717760 has 108 divisors (see below), whose sum is σ = 4669922712. Its totient is φ = 359921664.

The previous prime is 1349717749. The next prime is 1349717777. The reversal of 1349717760 is 677179431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 47062 + ... + 70101.

Almost surely, 21349717760 is an apocalyptic number.

1349717760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1349717760 is an abundant number, since it is smaller than the sum of its proper divisors (3320204952).

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

1349717760 is a wasteful number, since it uses less digits than its factorization.

1349717760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117190 (or 117173 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 1349717760 is about 36738.5051410642. The cubic root of 1349717760 is about 1105.1324234055.

The spelling of 1349717760 in words is "one billion, three hundred forty-nine million, seven hundred seventeen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 117163 234326 351489 468652 585815 702978 937304 1054467 1171630 1405956 1757445 1874608 2108934 2343260 2811912 3514890 3749216 4217868 4686520 5272335 5623824 7029780 7498432 8435736 9373040 10544670 11247648 14059560 14996864 16871472 18746080 21089340 22495296 28119120 29993728 33742944 37492160 42178680 44990592 56238240 67485888 74984320 84357360 89981184 112476480 134971776 149968640 168714720 224952960 269943552 337429440 449905920 674858880 1349717760