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150327360 = 26335127137
BaseRepresentation
bin10001111010111…
…01000001000000
3101110212102101000
420331131001000
5301440433420
622530012000
73503522121
oct1075350100
9343772330
10150327360
1177946197
1242417000
13251b4c01
1415d72048
15d2e6690
hex8f5d040

150327360 has 224 divisors, whose sum is σ = 538398720. Its totient is φ = 39481344.

The previous prime is 150327349. The next prime is 150327371. The reversal of 150327360 is 63723051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (150327349) and next prime (150327371).

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

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 31 ways as a sum of consecutive naturals, for example, 1097212 + ... + 1097348.

Almost surely, 2150327360 is an apocalyptic number.

150327360 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 150327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269199360).

150327360 is an abundant number, since it is smaller than the sum of its proper divisors (388071360).

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

150327360 is a wasteful number, since it uses less digits than its factorization.

150327360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 150327360 is about 12260.8058462729. The cubic root of 150327360 is about 531.7155280917.

The spelling of 150327360 in words is "one hundred fifty million, three hundred twenty-seven thousand, three hundred sixty".