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150240064 = 2613359503
BaseRepresentation
bin10001111010001…
…11101101000000
3101110200222121211
420331013231000
5301430140224
622524055504
73503006452
oct1075075500
9343628554
10150240064
1177896647
1242394594
1325184260
1415d4c2d2
15d2ca894
hex8f47b40

150240064 has 56 divisors (see below), whose sum is σ = 322600320. Its totient is φ = 69010944.

The previous prime is 150240007. The next prime is 150240109. The reversal of 150240064 is 460042051.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298437 + ... + 298939.

It is an arithmetic number, because the mean of its divisors is an integer number (5760720).

Almost surely, 2150240064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161300160).

150240064 is an abundant number, since it is smaller than the sum of its proper divisors (172360256).

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

150240064 is a wasteful number, since it uses less digits than its factorization.

150240064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 150240064 is about 12257.2453675367. The cubic root of 150240064 is about 531.6125846966.

The spelling of 150240064 in words is "one hundred fifty million, two hundred forty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 359 416 503 718 832 1006 1436 2012 2872 4024 4667 5744 6539 8048 9334 11488 13078 16096 18668 22976 26156 32192 37336 52312 74672 104624 149344 180577 209248 298688 361154 418496 722308 1444616 2347501 2889232 4695002 5778464 9390004 11556928 18780008 37560016 75120032 150240064