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150302988 = 223211383991
BaseRepresentation
bin10001111010101…
…11000100001100
3101110211011221100
420331113010030
5301434143423
622525303100
73503361063
oct1075270414
9343734840
10150302988
1177929950
1242404a90
13251a6aa4
1415d671da
15d2de343
hex8f5710c

150302988 has 72 divisors (see below), whose sum is σ = 415973376. Its totient is φ = 45381600.

The previous prime is 150302983. The next prime is 150302989. The reversal of 150302988 is 889203051.

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

It is not an unprimeable number, because it can be changed into a prime (150302983) 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 23 ways as a sum of consecutive naturals, for example, 151173 + ... + 152163.

It is an arithmetic number, because the mean of its divisors is an integer number (5777408).

Almost surely, 2150302988 is an apocalyptic number.

150302988 is a gapful number since it is divisible by the number (18) 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 150302988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207986688).

150302988 is an abundant number, since it is smaller than the sum of its proper divisors (265670388).

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

150302988 is a wasteful number, since it uses less digits than its factorization.

150302988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 150302988 is about 12259.8119072031. The cubic root of 150302988 is about 531.6867915369.

The spelling of 150302988 in words is "one hundred fifty million, three hundred two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 383 396 766 991 1149 1532 1982 2298 2973 3447 3964 4213 4596 5946 6894 8426 8919 10901 11892 12639 13788 16852 17838 21802 25278 32703 35676 37917 43604 50556 65406 75834 98109 130812 151668 196218 379553 392436 759106 1138659 1518212 2277318 3415977 4175083 4554636 6831954 8350166 12525249 13663908 16700332 25050498 37575747 50100996 75151494 150302988