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150880 = 2552341
BaseRepresentation
bin100100110101100000
321122222011
4210311200
514312010
63122304
71165612
oct446540
9248864
10150880
11a33a4
1273394
13538a2
143cdb2
152ea8a
hex24d60

150880 has 48 divisors (see below), whose sum is σ = 381024. Its totient is φ = 56320.

The previous prime is 150869. The next prime is 150881. The reversal of 150880 is 88051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3660 + ... + 3700.

It is an arithmetic number, because the mean of its divisors is an integer number (7938).

2150880 is an apocalyptic number.

150880 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 150880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512).

150880 is an abundant number, since it is smaller than the sum of its proper divisors (230144).

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

150880 is a wasteful number, since it uses less digits than its factorization.

150880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 150880 is about 388.4327483619. The cubic root of 150880 is about 53.2366303214.

The spelling of 150880 in words is "one hundred fifty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 41 46 80 82 92 115 160 164 184 205 230 328 368 410 460 656 736 820 920 943 1312 1640 1840 1886 3280 3680 3772 4715 6560 7544 9430 15088 18860 30176 37720 75440 150880