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150308128 = 2523443461
BaseRepresentation
bin10001111010110…
…00010100100000
3101110211102222201
420331120110200
5301434330003
622525342544
73503412055
oct1075302440
9343742881
10150308128
11779327a3
1242407a54
13251a9229
1415d6902c
15d2e0b1d
hex8f58520

150308128 has 48 divisors (see below), whose sum is σ = 310153536. Its totient is φ = 71568640.

The previous prime is 150308111. The next prime is 150308129. The reversal of 150308128 is 821803051.

It is a junction number, because it is equal to n+sod(n) for n = 150308096 and 150308105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150308129) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 325818 + ... + 326278.

It is an arithmetic number, because the mean of its divisors is an integer number (6461532).

Almost surely, 2150308128 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 150308128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155076768).

150308128 is an abundant number, since it is smaller than the sum of its proper divisors (159845408).

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

150308128 is a wasteful number, since it uses less digits than its factorization.

150308128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 150308128 is about 12260.0215334232. The cubic root of 150308128 is about 531.6928522702.

The spelling of 150308128 in words is "one hundred fifty million, three hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 443 461 736 886 922 1772 1844 3544 3688 7088 7376 10189 10603 14176 14752 20378 21206 40756 42412 81512 84824 163024 169648 204223 326048 339296 408446 816892 1633784 3267568 4697129 6535136 9394258 18788516 37577032 75154064 150308128