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10231424 = 27719601
BaseRepresentation
bin100111000001…
…111010000000
3201020210212122
4213001322000
510104401144
61003143412
7152652140
oct47017200
921223778
1010231424
115859025
123514b68
132172cc8
141504920
15d717ee
hex9c1e80

10231424 has 64 divisors (see below), whose sum is σ = 24561600. Its totient is φ = 4147200.

The previous prime is 10231421. The next prime is 10231439. The reversal of 10231424 is 42413201.

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

It is not an unprimeable number, because it can be changed into a prime (10231421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16724 + ... + 17324.

It is an arithmetic number, because the mean of its divisors is an integer number (383775).

Almost surely, 210231424 is an apocalyptic number.

10231424 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 10231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12280800).

10231424 is an abundant number, since it is smaller than the sum of its proper divisors (14330176).

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

10231424 is an equidigital number, since it uses as much as digits as its factorization.

10231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 10231424 is about 3198.6597193200. The cubic root of 10231424 is about 217.0927704026.

Adding to 10231424 its reverse (42413201), we get a palindrome (52644625).

The spelling of 10231424 in words is "ten million, two hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 601 608 896 1064 1202 1216 2128 2404 2432 4207 4256 4808 8414 8512 9616 11419 16828 17024 19232 22838 33656 38464 45676 67312 76928 79933 91352 134624 159866 182704 269248 319732 365408 538496 639464 730816 1278928 1461632 2557856 5115712 10231424