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10791424 = 2973011
BaseRepresentation
bin101001001010…
…101000000000
3202022021001101
4221022220000
510230311144
61023144144
7160503610
oct51125000
922267041
1010791424
116100836
123745054
13230ab77
14160ca40
15e326d4
hexa4aa00

10791424 has 40 divisors (see below), whose sum is σ = 24650208. Its totient is φ = 4623360.

The previous prime is 10791421. The next prime is 10791427. The reversal of 10791424 is 42419701.

It is an interprime number because it is at equal distance from previous prime (10791421) and next prime (10791427).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10791392 and 10791401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10791421) by changing a digit.

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, 2079 + ... + 5089.

Almost surely, 210791424 is an apocalyptic number.

10791424 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 10791424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12325104).

10791424 is an abundant number, since it is smaller than the sum of its proper divisors (13858784).

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

10791424 is an frugal number, since it uses more digits than its factorization.

10791424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 10791424 is about 3285.0302890537. The cubic root of 10791424 is about 220.9833665470.

The spelling of 10791424 in words is "ten million, seven hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3011 3584 6022 12044 21077 24088 42154 48176 84308 96352 168616 192704 337232 385408 674464 770816 1348928 1541632 2697856 5395712 10791424