Search a number
-
+
150449680 = 2452964849
BaseRepresentation
bin10001111011110…
…10111000010000
3101111002122011101
420331322320100
5302003342210
622532354144
73504541543
oct1075727020
9344078141
10150449680
1177a1a087
1242475954
13252287a4
1415da485a
15d31ca3a
hex8f7ae10

150449680 has 40 divisors (see below), whose sum is σ = 361863000. Its totient is φ = 58103808.

The previous prime is 150449641. The next prime is 150449681. The reversal of 150449680 is 86944051.

It is a happy number.

150449680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13278736 + 137170944 = 3644^2 + 11712^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1504496803 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (150449681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30105 + ... + 34744.

It is an arithmetic number, because the mean of its divisors is an integer number (9046575).

Almost surely, 2150449680 is an apocalyptic number.

150449680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150449680 is an abundant number, since it is smaller than the sum of its proper divisors (211413320).

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

150449680 is a wasteful number, since it uses less digits than its factorization.

150449680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64891 (or 64885 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 150449680 is about 12265.7930848356. The cubic root of 150449680 is about 531.8597063498.

The spelling of 150449680 in words is "one hundred fifty million, four hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 64849 129698 259396 324245 518792 648490 1037584 1296980 1880621 2593960 3761242 5187920 7522484 9403105 15044968 18806210 30089936 37612420 75224840 150449680