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11880828 = 2232401823
BaseRepresentation
bin101101010100…
…100101111100
3211100121102200
4231110211330
511020141303
61102351500
7202661661
oct55244574
924317380
1011880828
116785273
123b8b590
1325cc99b
141813a68
15109a3a3
hexb5497c

11880828 has 36 divisors (see below), whose sum is σ = 30143568. Its totient is φ = 3945600.

The previous prime is 11880821. The next prime is 11880839. The reversal of 11880828 is 82808811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11880792 and 11880801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11880821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14025 + ... + 14847.

Almost surely, 211880828 is an apocalyptic number.

11880828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11880828 is an abundant number, since it is smaller than the sum of its proper divisors (18262740).

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

11880828 is a wasteful number, since it uses less digits than its factorization.

11880828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 11880828 is about 3446.8576994126. The cubic root of 11880828 is about 228.1824486078.

The spelling of 11880828 in words is "eleven million, eight hundred eighty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 401 802 823 1203 1604 1646 2406 2469 3292 3609 4812 4938 7218 7407 9876 14436 14814 29628 330023 660046 990069 1320092 1980138 2970207 3960276 5940414 11880828