Search a number
-
+
151810432 = 279712227
BaseRepresentation
bin10010000110001…
…11000110000000
3101120122202202121
421003013012000
5302330413212
623021454024
73522240004
oct1103070600
9346582677
10151810432
1178769474
1242a11314
13255b3c77
141623a704
15d4dad07
hex90c7180

151810432 has 32 divisors (see below), whose sum is σ = 305577720. Its totient is φ = 75116544.

The previous prime is 151810427. The next prime is 151810433. The reversal of 151810432 is 234018151.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 151810397 and 151810406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151810433) 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, 6303 + ... + 18529.

Almost surely, 2151810432 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 151810432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152788860).

151810432 is an abundant number, since it is smaller than the sum of its proper divisors (153767288).

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

151810432 is an equidigital number, since it uses as much as digits as its factorization.

151810432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12338 (or 12326 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 151810432 is about 12321.1376098151. The cubic root of 151810432 is about 533.4583762363.

Adding to 151810432 its reverse (234018151), we get a palindrome (385828583).

The spelling of 151810432 in words is "one hundred fifty-one million, eight hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 3104 6208 12227 12416 24454 48908 97816 195632 391264 782528 1186019 1565056 2372038 4744076 9488152 18976304 37952608 75905216 151810432