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150357060 = 22345713259
BaseRepresentation
bin10001111011001…
…00010001000100
3101110220221010000
420331210101010
5301442411220
622530401300
73504004530
oct1075442104
9343827100
10150357060
1177966537
1242430230
13251c5599
1415d7cbc0
15d300390
hex8f64444

150357060 has 120 divisors (see below), whose sum is σ = 539098560. Its totient is φ = 34364736.

The previous prime is 150357059. The next prime is 150357071. The reversal of 150357060 is 60753051.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 4711 + ... + 17969.

It is an arithmetic number, because the mean of its divisors is an integer number (4492488).

Almost surely, 2150357060 is an apocalyptic number.

150357060 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 150357060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269549280).

150357060 is an abundant number, since it is smaller than the sum of its proper divisors (388741500).

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

150357060 is a wasteful number, since it uses less digits than its factorization.

150357060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13287 (or 13276 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 150357060 is about 12262.0169629633. The cubic root of 150357060 is about 531.7505425901.

The spelling of 150357060 in words is "one hundred fifty million, three hundred fifty-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 13259 26518 39777 53036 66295 79554 92813 119331 132590 159108 185626 198885 238662 265180 278439 357993 371252 397770 464065 477324 556878 596655 715986 795540 835317 928130 1073979 1113756 1193310 1392195 1431972 1670634 1789965 1856260 2147958 2386620 2505951 2784390 3341268 3579930 4176585 4295916 5011902 5369895 5568780 7159860 7517853 8353170 10023804 10739790 12529755 15035706 16706340 21479580 25059510 30071412 37589265 50119020 75178530 150357060