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10025424 = 2433231009
BaseRepresentation
bin100110001111…
…100111010000
3200212100022000
4212033213100
510031303144
6554514000
7151133433
oct46174720
920770260
1010025424
115728282
123435900
132100306
14148d81a
15d30769
hex98f9d0

10025424 has 80 divisors (see below), whose sum is σ = 30057600. Its totient is φ = 3193344.

The previous prime is 10025423. The next prime is 10025459. The reversal of 10025424 is 42452001.

10025424 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10025397 and 10025406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10025423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9432 + ... + 10440.

It is an arithmetic number, because the mean of its divisors is an integer number (375720).

Almost surely, 210025424 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 10025424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15028800).

10025424 is an abundant number, since it is smaller than the sum of its proper divisors (20032176).

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

10025424 is a wasteful number, since it uses less digits than its factorization.

10025424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10025424 is about 3166.2949957324. The cubic root of 10025424 is about 215.6258956485.

Adding to 10025424 its reverse (42452001), we get a palindrome (52477425).

The spelling of 10025424 in words is "ten million, twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1009 1104 1242 1656 2018 2484 3027 3312 4036 4968 6054 8072 9081 9936 12108 16144 18162 23207 24216 27243 36324 46414 48432 54486 69621 72648 92828 108972 139242 145296 185656 208863 217944 278484 371312 417726 435888 556968 626589 835452 1113936 1253178 1670904 2506356 3341808 5012712 10025424