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11988960 = 253524977
BaseRepresentation
bin101101101110…
…111111100000
3211120002202120
4231232333200
511032121320
61104544240
7203622144
oct55567740
924502676
1011988960
116849535
124022080
132639c79
141841224
1510bc440
hexb6efe0

11988960 has 48 divisors (see below), whose sum is σ = 37766736. Its totient is φ = 3196928.

The previous prime is 11988953. The next prime is 11988973. The reversal of 11988960 is 6988911.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12009 + ... + 12968.

It is an arithmetic number, because the mean of its divisors is an integer number (786807).

Almost surely, 211988960 is an apocalyptic number.

11988960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11988960 is an abundant number, since it is smaller than the sum of its proper divisors (25777776).

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

11988960 is a wasteful number, since it uses less digits than its factorization.

11988960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24995 (or 24987 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The square root of 11988960 is about 3462.5077617242. The cubic root of 11988960 is about 228.8726178286.

The spelling of 11988960 in words is "eleven million, nine hundred eighty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 24977 49954 74931 99908 124885 149862 199816 249770 299724 374655 399632 499540 599448 749310 799264 999080 1198896 1498620 1998160 2397792 2997240 3996320 5994480 11988960