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150600480 = 25352931349
BaseRepresentation
bin10001111100111…
…11101100100000
3101111101022000120
420332133230200
5302023203410
622535520240
73506040312
oct1076375440
9344338016
10150600480
1178012408
1242529080
132527c314
14160037b2
15d34c570
hex8f9fb20

150600480 has 192 divisors, whose sum is σ = 508032000. Its totient is φ = 37416960.

The previous prime is 150600413. The next prime is 150600487. The reversal of 150600480 is 84006051.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 150600480.

It is not an unprimeable number, because it can be changed into a prime (150600487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431346 + ... + 431694.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2150600480 is an apocalyptic number.

150600480 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 150600480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016000).

150600480 is an abundant number, since it is smaller than the sum of its proper divisors (357431520).

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

150600480 is a wasteful number, since it uses less digits than its factorization.

150600480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 150600480 is about 12271.9387221417. The cubic root of 150600480 is about 532.0373463898.

The spelling of 150600480 in words is "one hundred fifty million, six hundred thousand, four hundred eighty".