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11379424 = 257371373
BaseRepresentation
bin101011011010…
…001011100000
3210102010122011
4223122023200
510403120144
61043522304
7165503110
oct53321340
923363564
1011379424
116472591
123989394
1324856b4
141723040
15eeba34
hexada2e0

11379424 has 48 divisors (see below), whose sum is σ = 26314848. Its totient is φ = 4741632.

The previous prime is 11379419. The next prime is 11379469. The reversal of 11379424 is 42497311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7602 + ... + 8974.

It is an arithmetic number, because the mean of its divisors is an integer number (548226).

Almost surely, 211379424 is an apocalyptic number.

11379424 is a gapful number since it is divisible by the number (14) 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 11379424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13157424).

11379424 is an abundant number, since it is smaller than the sum of its proper divisors (14935424).

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

11379424 is a wasteful number, since it uses less digits than its factorization.

11379424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1419 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 11379424 is about 3373.3401844463. The cubic root of 11379424 is about 224.9262243719.

The spelling of 11379424 in words is "eleven million, three hundred seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 1373 2072 2746 4144 5492 8288 9611 10984 19222 21968 38444 43936 50801 76888 101602 153776 203204 307552 355607 406408 711214 812816 1422428 1625632 2844856 5689712 11379424