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150015060 = 223251364109
BaseRepresentation
bin10001111000100…
…00110001010100
3101110021112222100
420330100301110
5301400440220
622515202100
73501051456
oct1074206124
9343245870
10150015060
1177752598
12422a6330
1325105a10
1415cd02d6
15d283d90
hex8f10c54

150015060 has 72 divisors (see below), whose sum is σ = 490056840. Its totient is φ = 36926208.

The previous prime is 150015053. The next prime is 150015091. The reversal of 150015060 is 60510051.

It can be written as a sum of positive squares in 4 ways, for example, as 31945104 + 118069956 = 5652^2 + 10866^2 .

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 29715 + ... + 34394.

It is an arithmetic number, because the mean of its divisors is an integer number (6806345).

Almost surely, 2150015060 is an apocalyptic number.

150015060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150015060 is an abundant number, since it is smaller than the sum of its proper divisors (340041780).

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

150015060 is a wasteful number, since it uses less digits than its factorization.

150015060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64137 (or 64132 counting only the distinct ones).

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

The square root of 150015060 is about 12248.0635204101. The cubic root of 150015060 is about 531.3470658163.

The spelling of 150015060 in words is "one hundred fifty million, fifteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 64109 128218 192327 256436 320545 384654 576981 641090 769308 833417 961635 1153962 1282180 1666834 1923270 2307924 2500251 2884905 3333668 3846540 4167085 5000502 5769810 7500753 8334170 10001004 11539620 12501255 15001506 16668340 25002510 30003012 37503765 50005020 75007530 150015060