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11812428 = 22324153151
BaseRepresentation
bin101101000011…
…111001001100
3211020010121100
4231003321030
511010444203
61101103100
7202255365
oct55037114
924203540
1011812428
116738941
123b57a90
1325a7804
1417d6b6c
151084ea3
hexb43e4c

11812428 has 72 divisors (see below), whose sum is σ = 31370976. Its totient is φ = 3744000.

The previous prime is 11812403. The next prime is 11812459. The reversal of 11812428 is 82421811.

11812428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78153 + ... + 78303.

It is an arithmetic number, because the mean of its divisors is an integer number (435708).

Almost surely, 211812428 is an apocalyptic number.

11812428 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 11812428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685488).

11812428 is an abundant number, since it is smaller than the sum of its proper divisors (19558548).

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

11812428 is a wasteful number, since it uses less digits than its factorization.

11812428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 250 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 11812428 is about 3436.9212967422. The cubic root of 11812428 is about 227.7437101714.

The spelling of 11812428 in words is "eleven million, eight hundred twelve thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 53 82 106 123 151 159 164 212 246 302 318 369 453 477 492 604 636 738 906 954 1359 1476 1812 1908 2173 2718 4346 5436 6191 6519 8003 8692 12382 13038 16006 18573 19557 24009 24764 26076 32012 37146 39114 48018 55719 72027 74292 78228 96036 111438 144054 222876 288108 328123 656246 984369 1312492 1968738 2953107 3937476 5906214 11812428