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11992992 = 2531141277
BaseRepresentation
bin101101101111…
…111110100000
3211120022021220
4231233332200
511032233432
61105015040
7203636664
oct55577640
924508256
1011992992
116851570
124024480
13263ba5b
1418428a4
1510bd72c
hexb6ffa0

11992992 has 96 divisors (see below), whose sum is σ = 35308224. Its totient is φ = 3532800.

The previous prime is 11992987. The next prime is 11992993. The reversal of 11992992 is 29929911.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×119929922 = 287663714224128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11992993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43158 + ... + 43434.

It is an arithmetic number, because the mean of its divisors is an integer number (367794).

Almost surely, 211992992 is an apocalyptic number.

11992992 is a gapful number since it is divisible by the number (12) 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 11992992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17654112).

11992992 is an abundant number, since it is smaller than the sum of its proper divisors (23315232).

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

11992992 is a wasteful number, since it uses less digits than its factorization.

11992992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its digits is 26244, while the sum is 42.

The square root of 11992992 is about 3463.0899497414. The cubic root of 11992992 is about 228.8982722909.

It can be divided in two parts, 119929 and 92, that added together give a palindrome (120021).

The spelling of 11992992 in words is "eleven million, nine hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 66 82 88 96 123 132 164 176 246 264 277 328 352 451 492 528 554 656 831 902 984 1056 1108 1312 1353 1662 1804 1968 2216 2706 3047 3324 3608 3936 4432 5412 6094 6648 7216 8864 9141 10824 11357 12188 13296 14432 18282 21648 22714 24376 26592 34071 36564 43296 45428 48752 68142 73128 90856 97504 124927 136284 146256 181712 249854 272568 292512 363424 374781 499708 545136 749562 999416 1090272 1499124 1998832 2998248 3997664 5996496 11992992