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11930624 = 21061191
BaseRepresentation
bin101101100000…
…110000000000
3211110010201222
4231200300000
511023234444
61103414212
7203260106
oct55406000
924403658
1011930624
116809722
123bb4368
132619554
141827c76
1510a9eee
hexb60c00

11930624 has 44 divisors (see below), whose sum is σ = 24367488. Its totient is φ = 5836800.

The previous prime is 11930561. The next prime is 11930663. The reversal of 11930624 is 42603911.

It is a junction number, because it is equal to n+sod(n) for n = 11930593 and 11930602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62369 + ... + 62559.

Almost surely, 211930624 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 11930624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12183744).

11930624 is an abundant number, since it is smaller than the sum of its proper divisors (12436864).

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

11930624 is an equidigital number, since it uses as much as digits as its factorization.

11930624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 11930624 is about 3454.0735371442. The cubic root of 11930624 is about 228.5007972239.

The spelling of 11930624 in words is "eleven million, nine hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 191 244 256 382 488 512 764 976 1024 1528 1952 3056 3904 6112 7808 11651 12224 15616 23302 24448 31232 46604 48896 62464 93208 97792 186416 195584 372832 745664 1491328 2982656 5965312 11930624