Search a number
-
+
151128306 = 23271398629
BaseRepresentation
bin10010000001000…
…00100011110010
3101112101010001200
421000200203302
5302142101211
622555112030
73513366210
oct1100404362
9345333050
10151128306
1178342a2a
1242742616
1325405644
14160ddcb0
15d403b56
hex90208f2

151128306 has 48 divisors (see below), whose sum is σ = 376958400. Its totient is φ = 42863904.

The previous prime is 151128301. The next prime is 151128371. The reversal of 151128306 is 603821151.

It is a self number, because there is not a number n which added to its sum of digits gives 151128306.

It is not an unprimeable number, because it can be changed into a prime (151128301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13200 + ... + 21828.

It is an arithmetic number, because the mean of its divisors is an integer number (7853300).

Almost surely, 2151128306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151128306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188479200).

151128306 is an abundant number, since it is smaller than the sum of its proper divisors (225830094).

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

151128306 is a wasteful number, since it uses less digits than its factorization.

151128306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8783 (or 8780 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 151128306 is about 12293.4253159972. The cubic root of 151128306 is about 532.6581848372.

Adding to 151128306 its reverse (603821151), we get a palindrome (754949457).

The spelling of 151128306 in words is "one hundred fifty-one million, one hundred twenty-eight thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 139 278 417 834 973 1251 1946 2502 2919 5838 8629 8757 17258 17514 25887 51774 60403 77661 120806 155322 181209 362418 543627 1087254 1199431 2398862 3598293 7196586 8396017 10794879 16792034 21589758 25188051 50376102 75564153 151128306