Search a number
-
+
150151424 = 281095381
BaseRepresentation
bin10001111001100…
…10000100000000
3101110112111000212
420330302010000
5301414321144
622522133252
73502160153
oct1074620400
9343474025
10150151424
1177835a95
1242351228
1325152ac7
1415d27c9a
15d2ae49e
hex8f32100

150151424 has 36 divisors (see below), whose sum is σ = 302522220. Its totient is φ = 74373120.

The previous prime is 150151423. The next prime is 150151427. The reversal of 150151424 is 424151051.

It can be written as a sum of positive squares in 2 ways, for example, as 76877824 + 73273600 = 8768^2 + 8560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 150151424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150151423) 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, 25214 + ... + 30594.

It is an arithmetic number, because the mean of its divisors is an integer number (8403395).

Almost surely, 2150151424 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 150151424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151261110).

150151424 is an abundant number, since it is smaller than the sum of its proper divisors (152370796).

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

150151424 is an equidigital number, since it uses as much as digits as its factorization.

150151424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506 (or 5492 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 150151424 is about 12253.6290134800. The cubic root of 150151424 is about 531.5080155857.

It can be divided in two parts, 1501 and 51424, that added together give a palindrome (52925).

The spelling of 150151424 in words is "one hundred fifty million, one hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 109 128 218 256 436 872 1744 3488 5381 6976 10762 13952 21524 27904 43048 86096 172192 344384 586529 688768 1173058 1377536 2346116 4692232 9384464 18768928 37537856 75075712 150151424