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150298128 = 24324125457
BaseRepresentation
bin10001111010101…
…01111000010000
3101110210221021100
420331111320100
5301434020003
622525224400
73503340651
oct1075257020
9343727240
10150298128
1177926232
1242402100
13251a4806
1415d65528
15d2dcba3
hex8f55e10

150298128 has 60 divisors (see below), whose sum is σ = 430902108. Its totient is φ = 48875520.

The previous prime is 150298121. The next prime is 150298129. The reversal of 150298128 is 821892051.

It can be written as a sum of positive squares in 2 ways, for example, as 5143824 + 145154304 = 2268^2 + 12048^2 .

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 = 150298092 and 150298101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150298121) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6825 + ... + 18632.

Almost surely, 2150298128 is an apocalyptic number.

150298128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

150298128 is an abundant number, since it is smaller than the sum of its proper divisors (280603980).

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

150298128 is a wasteful number, since it uses less digits than its factorization.

150298128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25512 (or 25503 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 150298128 is about 12259.6136970135. The cubic root of 150298128 is about 531.6810608333.

It can be divided in two parts, 150298 and 128, that added together give a triangular number (150426 = T548).

The spelling of 150298128 in words is "one hundred fifty million, two hundred ninety-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 25457 50914 76371 101828 152742 203656 229113 305484 407312 458226 610968 916452 1043737 1221936 1832904 2087474 3131211 3665808 4174948 6262422 8349896 9393633 12524844 16699792 18787266 25049688 37574532 50099376 75149064 150298128