Search a number
-
+
150256980 = 22325834761
BaseRepresentation
bin10001111010010…
…11110101010100
3101110201211211100
420331023311110
5301431210410
622524310100
73503106666
oct1075136524
9343654740
10150256980
11778a8325
12423a2330
132518bb73
1415d54536
15d2d08c0
hex8f4bd54

150256980 has 36 divisors (see below), whose sum is σ = 455780052. Its totient is φ = 40068480.

The previous prime is 150256867. The next prime is 150257021. The reversal of 150256980 is 89652051.

It is a happy number.

150256980 is a `hidden beast` number, since 15 + 0 + 2 + 569 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28772496 + 121484484 = 5364^2 + 11022^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 417201 + ... + 417560.

It is an arithmetic number, because the mean of its divisors is an integer number (12660557).

Almost surely, 2150256980 is an apocalyptic number.

150256980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150256980 is an abundant number, since it is smaller than the sum of its proper divisors (305523072).

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

150256980 is a wasteful number, since it uses less digits than its factorization.

150256980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834776 (or 834771 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 150256980 is about 12257.9353889633. The cubic root of 150256980 is about 531.6325359239.

The spelling of 150256980 in words is "one hundred fifty million, two hundred fifty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 834761 1669522 2504283 3339044 4173805 5008566 7512849 8347610 10017132 12521415 15025698 16695220 25042830 30051396 37564245 50085660 75128490 150256980