Search a number
-
+
150921216 = 213322389
BaseRepresentation
bin10001111111011…
…10000000000000
3101111222120222200
420333232000000
5302113434331
622550433200
73511544355
oct1077560000
9344876880
10150921216
1178211386
1242662800
13253622c4
141608862c
15d3b25e6
hex8fee000

150921216 has 168 divisors, whose sum is σ = 460034640. Its totient is φ = 47579136.

The previous prime is 150921203. The next prime is 150921227. The reversal of 150921216 is 612129051.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 150921216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1695700 + ... + 1695788.

Almost surely, 2150921216 is an apocalyptic number.

150921216 is a gapful number since it is divisible by the number (16) 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 150921216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230017320).

150921216 is an abundant number, since it is smaller than the sum of its proper divisors (309113424).

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

150921216 is an equidigital number, since it uses as much as digits as its factorization.

150921216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 150921216 is about 12284.9996336996. Note that the first 3 decimals coincide. The cubic root of 150921216 is about 532.4147744317.

The spelling of 150921216 in words is "one hundred fifty million, nine hundred twenty-one thousand, two hundred sixteen".