Search a number
-
+
152990128 = 24191732909
BaseRepresentation
bin10010001111001…
…11000110110000
3101122212201000001
421013213012300
5303131141003
623103035344
73535252234
oct1107470660
9348781001
10152990128
11793a4825
124329bb54
1325907c05
14164665c4
15d67061d
hex91e71b0

152990128 has 40 divisors (see below), whose sum is σ = 313930800. Its totient is φ = 72025344.

The previous prime is 152990119. The next prime is 152990129. The reversal of 152990128 is 821099251.

It is not an unprimeable number, because it can be changed into a prime (152990129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51138 + ... + 54046.

It is an arithmetic number, because the mean of its divisors is an integer number (7848270).

Almost surely, 2152990128 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 152990128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156965400).

152990128 is an abundant number, since it is smaller than the sum of its proper divisors (160940672).

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

152990128 is a wasteful number, since it uses less digits than its factorization.

152990128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 152990128 is about 12368.9178184674. The cubic root of 152990128 is about 534.8366205635.

The spelling of 152990128 in words is "one hundred fifty-two million, nine hundred ninety thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 173 304 346 692 1384 2768 2909 3287 5818 6574 11636 13148 23272 26296 46544 52592 55271 110542 221084 442168 503257 884336 1006514 2013028 4026056 8052112 9561883 19123766 38247532 76495064 152990128