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11880108 = 223437991
BaseRepresentation
bin101101010100…
…011010101100
3211100120110000
4231110122230
511020130413
61102344300
7202656612
oct55243254
924316400
1011880108
116784779
123b8b090
1325cc566
1418136b2
15109a073
hexb546ac

11880108 has 60 divisors (see below), whose sum is σ = 31928512. Its totient is φ = 3849120.

The previous prime is 11880107. The next prime is 11880131. The reversal of 11880108 is 80108811.

11880108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×118801082 = 282273932183328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11880107) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11493 + ... + 12483.

Almost surely, 211880108 is an apocalyptic number.

11880108 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 11880108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15964256).

11880108 is an abundant number, since it is smaller than the sum of its proper divisors (20048404).

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

11880108 is a wasteful number, since it uses less digits than its factorization.

11880108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The square root of 11880108 is about 3446.7532548762. The cubic root of 11880108 is about 228.1778390895.

Adding to 11880108 its reverse (80108811), we get a palindrome (91988919).

The spelling of 11880108 in words is "eleven million, eight hundred eighty thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 991 999 1332 1982 1998 2973 2997 3964 3996 5946 5994 8919 11892 11988 17838 26757 35676 36667 53514 73334 80271 107028 110001 146668 160542 220002 321084 330003 440004 660006 990009 1320012 1980018 2970027 3960036 5940054 11880108