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150531120 = 24325209071
BaseRepresentation
bin10001111100011…
…10110000110000
3101111020202212200
420332032300300
5302013443440
622534223200
73505331145
oct1076166060
9344222780
10150531120
1177a75293
12424b4b00
132525688c
1415dc63cc
15d336c30
hex8f8ec30

150531120 has 60 divisors (see below), whose sum is σ = 505536096. Its totient is φ = 40141440.

The previous prime is 150531119. The next prime is 150531149. The reversal of 150531120 is 21135051.

150531120 is a `hidden beast` number, since 15 + 0 + 531 + 120 = 666.

150531120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 150531093 and 150531102.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 103816 + ... + 105255.

Almost surely, 2150531120 is an apocalyptic number.

150531120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150531120 is an abundant number, since it is smaller than the sum of its proper divisors (355004976).

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

150531120 is a wasteful number, since it uses less digits than its factorization.

150531120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209090 (or 209081 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 150531120 is about 12269.1124373363. The cubic root of 150531120 is about 531.9556561302.

Adding to 150531120 its reverse (21135051), we get a palindrome (171666171).

The spelling of 150531120 in words is "one hundred fifty million, five hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 209071 418142 627213 836284 1045355 1254426 1672568 1881639 2090710 2508852 3136065 3345136 3763278 4181420 5017704 6272130 7526556 8362840 9408195 10035408 12544260 15053112 16725680 18816390 25088520 30106224 37632780 50177040 75265560 150531120