Search a number
-
+
150716160 = 283357289
BaseRepresentation
bin10001111101110…
…11111100000000
3101111121011201000
420332323330000
5302040404120
622542212000
73510031500
oct1076737400
9344534630
10150716160
1178091311
1242584000
13252bcb7a
1416033a00
15d371990
hex8fbbf00

150716160 has 432 divisors, whose sum is σ = 629143200. Its totient is φ = 34062336.

The previous prime is 150716143. The next prime is 150716179. The reversal of 150716160 is 61617051.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1693396 + ... + 1693484.

It is an arithmetic number, because the mean of its divisors is an integer number (1456350).

Almost surely, 2150716160 is an apocalyptic number.

150716160 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 150716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314571600).

150716160 is an abundant number, since it is smaller than the sum of its proper divisors (478427040).

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

150716160 is an equidigital number, since it uses as much as digits as its factorization.

150716160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 150716160 is about 12276.6510091311. The cubic root of 150716160 is about 532.1735352621.

The spelling of 150716160 in words is "one hundred fifty million, seven hundred sixteen thousand, one hundred sixty".