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11930368 = 28291607
BaseRepresentation
bin101101100000…
…101100000000
3211110010101111
4231200230000
511023232433
61103413104
7203256262
oct55405400
924403344
1011930368
11680950a
123bb4194
1326193b8
141827b32
1510a9dcd
hexb60b00

11930368 has 36 divisors (see below), whose sum is σ = 24650640. Its totient is φ = 5755904.

The previous prime is 11930363. The next prime is 11930407. The reversal of 11930368 is 86303911.

It is not an unprimeable number, because it can be changed into a prime (11930363) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6621 + ... + 8227.

It is an arithmetic number, because the mean of its divisors is an integer number (684740).

Almost surely, 211930368 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 11930368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12325320).

11930368 is an abundant number, since it is smaller than the sum of its proper divisors (12720272).

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

11930368 is an equidigital number, since it uses as much as digits as its factorization.

11930368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 11930368 is about 3454.0364792515. The cubic root of 11930368 is about 228.4991628690.

The spelling of 11930368 in words is "eleven million, nine hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1607 1856 3214 3712 6428 7424 12856 25712 46603 51424 93206 102848 186412 205696 372824 411392 745648 1491296 2982592 5965184 11930368