Search a number
-
+
155430432 = 2532737393
BaseRepresentation
bin10010100001110…
…10111000100000
3101211110200110200
421100322320200
5304242233212
623231225200
73565064643
oct1120727040
9354420420
10155430432
117a811203
1244078200
1326280891
14168dda5a
15d9a36dc
hex943ae20

155430432 has 72 divisors (see below), whose sum is σ = 448120764. Its totient is φ = 51093504.

The previous prime is 155430413. The next prime is 155430437. The reversal of 155430432 is 234034551.

It can be written as a sum of positive squares in 2 ways, for example, as 151880976 + 3549456 = 12324^2 + 1884^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 155430396 and 155430405.

It is not an unprimeable number, because it can be changed into a prime (155430437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17328 + ... + 24720.

Almost surely, 2155430432 is an apocalyptic number.

155430432 is a gapful number since it is divisible by the number (12) 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 155430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224060382).

155430432 is an abundant number, since it is smaller than the sum of its proper divisors (292690332).

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

155430432 is a wasteful number, since it uses less digits than its factorization.

155430432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7482 (or 7471 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 155430432 is about 12467.1741786180. The cubic root of 155430432 is about 537.6653114742.

Adding to 155430432 its reverse (234034551), we get a palindrome (389464983).

The spelling of 155430432 in words is "one hundred fifty-five million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1168 1314 1752 2336 2628 3504 5256 7008 7393 10512 14786 21024 22179 29572 44358 59144 66537 88716 118288 133074 177432 236576 266148 354864 532296 539689 709728 1064592 1079378 1619067 2129184 2158756 3238134 4317512 4857201 6476268 8635024 9714402 12952536 17270048 19428804 25905072 38857608 51810144 77715216 155430432