Search a number
-
+
10151424 = 29322203
BaseRepresentation
bin100110101110…
…011000000000
3201002202010200
4212232120000
510044321144
61001325200
7152166663
oct46563000
921082120
1010151424
115803a08
123496800
13214577a
1414c36da
15d57c69
hex9ae600

10151424 has 60 divisors (see below), whose sum is σ = 29310996. Its totient is φ = 3382272.

The previous prime is 10151417. The next prime is 10151473. The reversal of 10151424 is 42415101.

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 = 10151397 and 10151406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3507 + ... + 5709.

Almost surely, 210151424 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 10151424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14655498).

10151424 is an abundant number, since it is smaller than the sum of its proper divisors (19159572).

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

10151424 is an equidigital number, since it uses as much as digits as its factorization.

10151424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10151424 is about 3186.1299408530. The cubic root of 10151424 is about 216.5254696091.

Adding to 10151424 its reverse (42415101), we get a palindrome (52566525).

The spelling of 10151424 in words is "ten million, one hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2203 2304 4406 4608 6609 8812 13218 17624 19827 26436 35248 39654 52872 70496 79308 105744 140992 158616 211488 281984 317232 422976 563968 634464 845952 1127936 1268928 1691904 2537856 3383808 5075712 10151424