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11978268 = 2231771827
BaseRepresentation
bin101101101100…
…011000011100
3211112120002120
4231230120130
511031301033
61104422540
7203546031
oct55543034
924476076
1011978268
1168414a5
124017a50
132635143
14183b388
1510b91b3
hexb6c61c

11978268 has 48 divisors (see below), whose sum is σ = 30046464. Its totient is φ = 3700480.

The previous prime is 11978237. The next prime is 11978287. The reversal of 11978268 is 86287911.

11978268 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14071 + ... + 14897.

It is an arithmetic number, because the mean of its divisors is an integer number (625968).

Almost surely, 211978268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11978268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15023232).

11978268 is an abundant number, since it is smaller than the sum of its proper divisors (18068196).

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

11978268 is a wasteful number, since it uses less digits than its factorization.

11978268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 920 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 11978268 is about 3460.9634496770. The cubic root of 11978268 is about 228.8045598306.

It can be divided in two parts, 11978 and 268, that added together give a triangular number (12246 = T156).

The spelling of 11978268 in words is "eleven million, nine hundred seventy-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 426 827 852 1207 1654 2414 2481 3308 3621 4828 4962 7242 9924 14059 14484 28118 42177 56236 58717 84354 117434 168708 176151 234868 352302 704604 998189 1996378 2994567 3992756 5989134 11978268