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150720 = 2635157
BaseRepresentation
bin100100110011000000
321122202020
4210303000
514310340
63121440
71165263
oct446300
9248666
10150720
11a3269
1273280
13537ab
143ccda
152e9d0
hex24cc0

150720 has 56 divisors (see below), whose sum is σ = 481584. Its totient is φ = 39936.

The previous prime is 150707. The next prime is 150721. The reversal of 150720 is 27051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 150720.

It is not an unprimeable number, because it can be changed into a prime (150721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 882 + ... + 1038.

2150720 is an apocalyptic number.

150720 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 150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240792).

150720 is an abundant number, since it is smaller than the sum of its proper divisors (330864).

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

150720 is a wasteful number, since it uses less digits than its factorization.

150720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 150720 is about 388.2267378736. The cubic root of 150720 is about 53.2178054859.

Adding to 150720 its reverse (27051), we get a palindrome (177771).

It can be divided in two parts, 1 and 50720, that added together give a triangular number (50721 = T318).

The spelling of 150720 in words is "one hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 157 160 192 240 314 320 471 480 628 785 942 960 1256 1570 1884 2355 2512 3140 3768 4710 5024 6280 7536 9420 10048 12560 15072 18840 25120 30144 37680 50240 75360 150720