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150169320 = 23325728513
BaseRepresentation
bin10001111001101…
…10011011101000
3101110120101120200
420330312123220
5301420404240
622522352200
73502263300
oct1074663350
9343511520
10150169320
1177848484
124235b660
132515acb2
1415d30600
15d2b4930
hex8f366e8

150169320 has 144 divisors (see below), whose sum is σ = 567798660. Its totient is φ = 34320384.

The previous prime is 150169319. The next prime is 150169343. The reversal of 150169320 is 23961051.

It can be written as a sum of positive squares in 2 ways, for example, as 141276996 + 8892324 = 11886^2 + 2982^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13384 + ... + 21896.

Almost surely, 2150169320 is an apocalyptic number.

150169320 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 150169320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283899330).

150169320 is an abundant number, since it is smaller than the sum of its proper divisors (417629340).

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

150169320 is a wasteful number, since it uses less digits than its factorization.

150169320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8544 (or 8530 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 150169320 is about 12254.3592243740. The cubic root of 150169320 is about 531.5291309135.

It can be divided in two parts, 15016 and 9320, that added together give a square (24336 = 1562).

The spelling of 150169320 in words is "one hundred fifty million, one hundred sixty-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8513 8820 17026 17640 25539 34052 42565 51078 59591 68104 76617 85130 102156 119182 127695 153234 170260 178773 204312 238364 255390 297955 306468 340520 357546 383085 417137 476728 510780 536319 595910 612936 715092 766170 834274 893865 1021560 1072638 1191820 1251411 1430184 1532340 1668548 1787730 2085685 2145276 2383640 2502822 2681595 3064680 3337096 3575460 3754233 4171370 4290552 5005644 5363190 6257055 7150920 7508466 8342740 10011288 10726380 12514110 15016932 16685480 18771165 21452760 25028220 30033864 37542330 50056440 75084660 150169320