Search a number
-
+
10150144 = 28311279
BaseRepresentation
bin100110101110…
…000100000000
3201002200101021
4212232010000
510044301034
61001315224
7152163154
oct46560400
921080337
1010150144
115802a54
123495b14
132145004
1414c3064
15d576b4
hex9ae100

10150144 has 36 divisors (see below), whose sum is σ = 20930560. Its totient is φ = 4907520.

The previous prime is 10150141. The next prime is 10150163. The reversal of 10150144 is 44105101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10150141) 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, 7297 + ... + 8575.

Almost surely, 210150144 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 10150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10465280).

10150144 is an abundant number, since it is smaller than the sum of its proper divisors (10780416).

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

10150144 is an equidigital number, since it uses as much as digits as its factorization.

10150144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 10150144 is about 3185.9290638682. The cubic root of 10150144 is about 216.5163686117.

Adding to 10150144 its reverse (44105101), we get a palindrome (54255245).

The spelling of 10150144 in words is "ten million, one hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 992 1279 1984 2558 3968 5116 7936 10232 20464 39649 40928 79298 81856 158596 163712 317192 327424 634384 1268768 2537536 5075072 10150144