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150798240 = 2533567521
BaseRepresentation
bin10001111110011…
…11111110100000
3101111202100022000
420333033332200
5302101020430
622544044000
73510523005
oct1077177640
9344670260
10150798240
1178137a4a
1242603600
132531b338
14160558ac
15d38ae60
hex8fcffa0

150798240 has 192 divisors, whose sum is σ = 536699520. Its totient is φ = 39536640.

The previous prime is 150798239. The next prime is 150798247. The reversal of 150798240 is 42897051.

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

It is a junction number, because it is equal to n+sod(n) for n = 150798195 and 150798204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150798247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289180 + ... + 289700.

It is an arithmetic number, because the mean of its divisors is an integer number (2795310).

Almost surely, 2150798240 is an apocalyptic number.

150798240 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 150798240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268349760).

150798240 is an abundant number, since it is smaller than the sum of its proper divisors (385901280).

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

150798240 is a wasteful number, since it uses less digits than its factorization.

150798240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 150798240 is about 12279.9934853403. The cubic root of 150798240 is about 532.2701249413.

The spelling of 150798240 in words is "one hundred fifty million, seven hundred ninety-eight thousand, two hundred forty".