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1330042680 = 23345410507
BaseRepresentation
bin100111101000110…
…1101011100111000
310102200201011120000
41033101231130320
510210442331210
6335551233000
744650114311
oct11721553470
93380634500
101330042680
1162285782a
12311518760
13182726505
14c8901608
157bb76ac0
hex4f46d738

1330042680 has 80 divisors (see below), whose sum is σ = 4470432120. Its totient is φ = 354677184.

The previous prime is 1330042669. The next prime is 1330042697. The reversal of 1330042680 is 862400331.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 202014 + ... + 208493.

Almost surely, 21330042680 is an apocalyptic number.

1330042680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330042680 is an abundant number, since it is smaller than the sum of its proper divisors (3140389440).

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

1330042680 is a wasteful number, since it uses less digits than its factorization.

1330042680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410530 (or 410517 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1330042680 is about 36469.7502047930. The cubic root of 1330042680 is about 1099.7362122290.

The spelling of 1330042680 in words is "one billion, three hundred thirty million, forty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 410507 821014 1231521 1642028 2052535 2463042 3284056 3694563 4105070 4926084 6157605 7389126 8210140 9852168 11083689 12315210 14778252 16420280 18472815 22167378 24630420 29556504 33251067 36945630 44334756 49260840 55418445 66502134 73891260 88669512 110836890 133004268 147782520 166255335 221673780 266008536 332510670 443347560 665021340 1330042680