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150120520 = 235111917957
BaseRepresentation
bin10001111001010…
…10100001001000
3101110110220122021
420330222201020
5301412324040
622521334224
73502001104
oct1074524110
9343426567
10150120520
1177814850
1242337374
1325141a14
1415d1a904
15d2a524a
hex8f2a848

150120520 has 64 divisors (see below), whose sum is σ = 387892800. Its totient is φ = 51713280.

The previous prime is 150120511. The next prime is 150120527. The reversal of 150120520 is 25021051.

150120520 = T209 + T210 + ... + T968.

It is a junction number, because it is equal to n+sod(n) for n = 150120494 and 150120503.

It is not an unprimeable number, because it can be changed into a prime (150120527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619 + ... + 17338.

It is an arithmetic number, because the mean of its divisors is an integer number (6060825).

Almost surely, 2150120520 is an apocalyptic number.

150120520 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 150120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193946400).

150120520 is an abundant number, since it is smaller than the sum of its proper divisors (237772280).

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

150120520 is a wasteful number, since it uses less digits than its factorization.

150120520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17998 (or 17994 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 150120520 is about 12252.3679344035. The cubic root of 150120520 is about 531.4715482865.

Adding to 150120520 its reverse (25021051), we get a palindrome (175141571).

The spelling of 150120520 in words is "one hundred fifty million, one hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 17957 35914 71828 89785 143656 179570 197527 341183 359140 395054 682366 718280 790108 987635 1364732 1580216 1705915 1975270 2729464 3411830 3753013 3950540 6823660 7506026 7901080 13647320 15012052 18765065 30024104 37530130 75060260 150120520