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11660096 = 267171531
BaseRepresentation
bin101100011110…
…101101000000
3210221101122102
4230132231000
510441110341
61053525532
7201052310
oct54365500
923841572
1011660096
116644448
123aa38a8
132553386
141797440
151054c9b
hexb1eb40

11660096 has 56 divisors (see below), whose sum is σ = 28017216. Its totient is φ = 4700160.

The previous prime is 11660041. The next prime is 11660101. The reversal of 11660096 is 69006611.

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 6851 + ... + 8381.

Almost surely, 211660096 is an apocalyptic number.

11660096 is a gapful number since it is divisible by the number (16) 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 11660096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14008608).

11660096 is an abundant number, since it is smaller than the sum of its proper divisors (16357120).

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

11660096 is a wasteful number, since it uses less digits than its factorization.

11660096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 11660096 is about 3414.6882727417. The cubic root of 11660096 is about 226.7604840394.

The spelling of 11660096 in words is "eleven million, six hundred sixty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1531 1904 3062 3808 6124 7616 10717 12248 21434 24496 26027 42868 48992 52054 85736 97984 104108 171472 182189 208216 342944 364378 416432 685888 728756 832864 1457512 1665728 2915024 5830048 11660096