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11917696 = 27747283
BaseRepresentation
bin101101011101…
…100110000000
3211102111000011
4231131212000
511022331241
61103234304
7203204320
oct55354600
924374004
1011917696
1167aaa3a
123ba8994
1326136bb
141823280
1510a6281
hexb5d980

11917696 has 64 divisors (see below), whose sum is σ = 27809280. Its totient is φ = 4981248.

The previous prime is 11917681. The next prime is 11917709. The reversal of 11917696 is 69671911.

It is a tau number, because it is divible by the number of its divisors (64).

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, 41971 + ... + 42253.

It is an arithmetic number, because the mean of its divisors is an integer number (434520).

Almost surely, 211917696 is an apocalyptic number.

11917696 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 11917696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13904640).

11917696 is an abundant number, since it is smaller than the sum of its proper divisors (15891584).

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

11917696 is an equidigital number, since it uses as much as digits as its factorization.

11917696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 339 counting only the distinct ones).

The product of its digits is 20412, while the sum is 40.

The square root of 11917696 is about 3452.2016163602. The cubic root of 11917696 is about 228.4182330609.

The spelling of 11917696 in words is "eleven million, nine hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 283 329 376 448 566 658 752 896 1132 1316 1504 1981 2264 2632 3008 3962 4528 5264 6016 7924 9056 10528 13301 15848 18112 21056 26602 31696 36224 42112 53204 63392 93107 106408 126784 186214 212816 253568 372428 425632 744856 851264 1489712 1702528 2979424 5958848 11917696