Search a number
-
+
150321340 = 225132412399
BaseRepresentation
bin10001111010110…
…11100010111100
3101110212010010001
420331123202330
5301440240330
622525524044
73503465431
oct1075334274
9343763101
10150321340
1177941714
1242413624
13251b2250
1415d6db88
15d2e49ca
hex8f5b8bc

150321340 has 48 divisors (see below), whose sum is σ = 341510400. Its totient is φ = 55249920.

The previous prime is 150321337. The next prime is 150321341. The reversal of 150321340 is 43123051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150321341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61461 + ... + 63859.

It is an arithmetic number, because the mean of its divisors is an integer number (7114800).

Almost surely, 2150321340 is an apocalyptic number.

150321340 is a gapful number since it is divisible by the number (10) 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 150321340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170755200).

150321340 is an abundant number, since it is smaller than the sum of its proper divisors (191189060).

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

150321340 is a wasteful number, since it uses less digits than its factorization.

150321340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 150321340 is about 12260.5603460853. The cubic root of 150321340 is about 531.7084303148.

Adding to 150321340 its reverse (43123051), we get a palindrome (193444391).

The spelling of 150321340 in words is "one hundred fifty million, three hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 241 260 482 964 1205 2399 2410 3133 4798 4820 6266 9596 11995 12532 15665 23990 31187 31330 47980 62374 62660 124748 155935 311870 578159 623740 1156318 2312636 2890795 5781590 7516067 11563180 15032134 30064268 37580335 75160670 150321340