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1493749080 = 2333510912689
BaseRepresentation
bin101100100001000…
…1100110101011000
310212002202022112000
41121002030311120
511024344432310
6404120121000
752005441405
oct13102146530
93762668460
101493749080
116a720087a
12358306160
131aa613cc5
141025572ac
158b2124c0
hex5908cd58

1493749080 has 128 divisors (see below), whose sum is σ = 5025240000. Its totient is φ = 394647552.

The previous prime is 1493749067. The next prime is 1493749109. The reversal of 1493749080 is 809473941.

1493749080 is a `hidden beast` number, since 1 + 493 + 74 + 90 + 8 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111376 + ... + 124064.

Almost surely, 21493749080 is an apocalyptic number.

1493749080 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 1493749080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512620000).

1493749080 is an abundant number, since it is smaller than the sum of its proper divisors (3531490920).

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

1493749080 is a wasteful number, since it uses less digits than its factorization.

1493749080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12818 (or 12808 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1493749080 is about 38649.0501823784. The cubic root of 1493749080 is about 1143.1219136844.

The spelling of 1493749080 in words is "one billion, four hundred ninety-three million, seven hundred forty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 109 120 135 180 216 218 270 327 360 436 540 545 654 872 981 1080 1090 1308 1635 1962 2180 2616 2943 3270 3924 4360 4905 5886 6540 7848 9810 11772 12689 13080 14715 19620 23544 25378 29430 38067 39240 50756 58860 63445 76134 101512 114201 117720 126890 152268 190335 228402 253780 304536 342603 380670 456804 507560 571005 685206 761340 913608 1142010 1370412 1383101 1522680 1713015 2284020 2740824 2766202 3426030 4149303 4568040 5532404 6852060 6915505 8298606 11064808 12447909 13704120 13831010 16597212 20746515 24895818 27662020 33194424 37343727 41493030 49791636 55324040 62239545 74687454 82986060 99583272 124479090 149374908 165972120 186718635 248958180 298749816 373437270 497916360 746874540 1493749080