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11680515 = 3257113371
BaseRepresentation
bin101100100011…
…101100000011
3210222102122200
4230203230003
510442234030
61054204243
7201165660
oct54435403
923872580
1011680515
116658820
123ab3683
13255c762
1417a0a67
15105ad60
hexb23b03

11680515 has 48 divisors (see below), whose sum is σ = 25249536. Its totient is φ = 4852800.

The previous prime is 11680489. The next prime is 11680519. The reversal of 11680515 is 51508611.

It is not a de Polignac number, because 11680515 - 210 = 11679491 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11680519) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1780 + ... + 5150.

It is an arithmetic number, because the mean of its divisors is an integer number (526032).

Almost surely, 211680515 is an apocalyptic number.

11680515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11680515 is an abundant number, since it is smaller than the sum of its proper divisors (13569021).

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

11680515 is a wasteful number, since it uses less digits than its factorization.

11680515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 11680515 is about 3417.6768425350. The cubic root of 11680515 is about 226.8927734636.

The spelling of 11680515 in words is "eleven million, six hundred eighty thousand, five hundred fifteen".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3371 3465 10113 16855 23597 30339 37081 50565 70791 111243 117985 151695 185405 212373 259567 333729 353955 556215 778701 1061865 1297835 1668645 2336103 3893505 11680515