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11939967 = 3413172329
BaseRepresentation
bin101101100011…
…000001111111
3211110121120000
4231203001333
511024034332
61103525343
7203326254
oct55430177
924417500
1011939967
116815746
123bb9853
132620890
14182b42b
1510acb7c
hexb6307f

11939967 has 80 divisors (see below), whose sum is σ = 21954240. Its totient is φ = 6386688.

The previous prime is 11939959. The next prime is 11940017. The reversal of 11939967 is 76993911.

It is not a de Polignac number, because 11939967 - 23 = 11939959 is a prime.

It is a super-2 number, since 2×119399672 = 285125623922178, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11939947) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 411709 + ... + 411737.

It is an arithmetic number, because the mean of its divisors is an integer number (274428).

Almost surely, 211939967 is an apocalyptic number.

11939967 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

11939967 is a deficient number, since it is larger than the sum of its proper divisors (10014273).

11939967 is a wasteful number, since it uses less digits than its factorization.

11939967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 85 counting only the distinct ones).

The product of its digits is 91854, while the sum is 45.

The square root of 11939967 is about 3455.4257335385. The cubic root of 11939967 is about 228.5604288047.

The spelling of 11939967 in words is "eleven million, nine hundred thirty-nine thousand, nine hundred sixty-seven".

Divisors: 1 3 9 13 17 23 27 29 39 51 69 81 87 117 153 207 221 261 299 351 377 391 459 493 621 663 667 783 897 1053 1131 1173 1377 1479 1863 1989 2001 2349 2691 3393 3519 4437 5083 5967 6003 6409 8073 8671 10179 10557 11339 13311 15249 17901 18009 19227 24219 26013 30537 31671 34017 39933 45747 54027 57681 78039 102051 137241 147407 173043 234117 306153 411723 442221 519129 702351 918459 1326663 3979989 11939967