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11239424 = 21573
BaseRepresentation
bin101010111000…
…000000000000
3210011000120222
4222320000000
510334130144
61040522212
7164351000
oct52700000
923130528
1011239424
116387389
123920368
132436a61
1416c8000
15ec02ee
hexab8000

11239424 has 64 divisors (see below), whose sum is σ = 26214000. Its totient is φ = 4816896.

The previous prime is 11239421. The next prime is 11239427. The reversal of 11239424 is 42493211.

The cubic root of 11239424 is 224.

It is a perfect power (a cube), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (11239421) and next prime (11239427).

It is a tau number, because it is divible by the number of its divisors (64).

Its product of digits (1728) is a multiple of the sum of its prime divisors (9).

It is a junction number, because it is equal to n+sod(n) for n = 11239393 and 11239402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11239421) 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, 1605629 + ... + 1605635.

Almost surely, 211239424 is an apocalyptic number.

11239424 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 11239424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13107000).

11239424 is an abundant number, since it is smaller than the sum of its proper divisors (14974576).

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

11239424 is an frugal number, since it uses more digits than its factorization.

11239424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 9 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 11239424 is about 3352.5250185495.

Multiplying 11239424 by its product of digits (1728), we get a cube (19421724672 = 26883).

The spelling of 11239424 in words is "eleven million, two hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1024 1372 1568 1792 2048 2744 3136 3584 4096 5488 6272 7168 8192 10976 12544 14336 16384 21952 25088 28672 32768 43904 50176 57344 87808 100352 114688 175616 200704 229376 351232 401408 702464 802816 1404928 1605632 2809856 5619712 11239424