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150280 = 23513172
BaseRepresentation
bin100100101100001000
321122010221
4210230020
514302110
63115424
71164064
oct445410
9248127
10150280
11a29a9
1272b74
1353530
143caa4
152e7da
hex24b08

150280 has 48 divisors (see below), whose sum is σ = 386820. Its totient is φ = 52224.

The previous prime is 150247. The next prime is 150287. The reversal of 150280 is 82051.

150280 = 932 + 942 + ... + 1072.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 79524 + 70756 = 282^2 + 266^2 .

It is not an unprimeable number, because it can be changed into a prime (150287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8832 + ... + 8848.

2150280 is an apocalyptic number.

150280 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 150280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193410).

150280 is an abundant number, since it is smaller than the sum of its proper divisors (236540).

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

150280 is a wasteful number, since it uses less digits than its factorization.

150280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 150280 is about 387.6596445337. The cubic root of 150280 is about 53.1659683983.

The spelling of 150280 in words is "one hundred fifty thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 289 340 442 520 578 680 884 1105 1156 1445 1768 2210 2312 2890 3757 4420 5780 7514 8840 11560 15028 18785 30056 37570 75140 150280