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11930208 = 253151823
BaseRepresentation
bin101101100000…
…101001100000
3211110010011120
4231200221200
511023231313
61103412240
7203255643
oct55405140
924403146
1011930208
116809384
123bb4080
1326192c4
141827a5a
1510a9d23
hexb60a60

11930208 has 48 divisors (see below), whose sum is σ = 31562496. Its totient is φ = 3945600.

The previous prime is 11930203. The next prime is 11930239. The reversal of 11930208 is 80203911.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11930203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14085 + ... + 14907.

It is an arithmetic number, because the mean of its divisors is an integer number (657552).

Almost surely, 211930208 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 11930208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15781248).

11930208 is an abundant number, since it is smaller than the sum of its proper divisors (19632288).

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

11930208 is a wasteful number, since it uses less digits than its factorization.

11930208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 11930208 is about 3454.0133178666. The cubic root of 11930208 is about 228.4981413853.

The spelling of 11930208 in words is "eleven million, nine hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 453 604 823 906 1208 1646 1812 2416 2469 3292 3624 4832 4938 6584 7248 9876 13168 14496 19752 26336 39504 79008 124273 248546 372819 497092 745638 994184 1491276 1988368 2982552 3976736 5965104 11930208