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11969928 = 2332832003
BaseRepresentation
bin101101101010…
…010110001000
3211112010122200
4231222112020
511031014203
61104320200
7203512515
oct55522610
924463580
1011969928
116836203
124013060
1326313c9
14183830c
1510b69a3
hexb6a588

11969928 has 48 divisors (see below), whose sum is σ = 32825520. Its totient is φ = 3939936.

The previous prime is 11969927. The next prime is 11969933. The reversal of 11969928 is 82996911.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11969927) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4975 + ... + 6977.

It is an arithmetic number, because the mean of its divisors is an integer number (683865).

Almost surely, 211969928 is an apocalyptic number.

11969928 is a gapful number since it is divisible by the number (18) 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 11969928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16412760).

11969928 is an abundant number, since it is smaller than the sum of its proper divisors (20855592).

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

11969928 is a wasteful number, since it uses less digits than its factorization.

11969928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2091 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 11969928 is about 3459.7583730660. The cubic root of 11969928 is about 228.7514449429.

The spelling of 11969928 in words is "eleven million, nine hundred sixty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2003 2988 4006 5976 6009 8012 12018 16024 18027 24036 36054 48072 72108 144216 166249 332498 498747 664996 997494 1329992 1496241 1994988 2992482 3989976 5984964 11969928