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150485160 = 23357315779
BaseRepresentation
bin10001111100000…
…11100010101000
3101111011102211110
420332003202220
5302011011120
622533230320
73505050150
oct1076034250
9344142743
10150485160
1177a43801
12424923a0
132523b997
1415db3760
15d3282e0
hex8f838a8

150485160 has 128 divisors (see below), whose sum is σ = 532684800. Its totient is φ = 33281280.

The previous prime is 150485143. The next prime is 150485161. The reversal of 150485160 is 61584051.

It is a super-4 number, since 4×1504851604 (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (150485161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23151 + ... + 28929.

It is an arithmetic number, because the mean of its divisors is an integer number (4161600).

Almost surely, 2150485160 is an apocalyptic number.

150485160 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 150485160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266342400).

150485160 is an abundant number, since it is smaller than the sum of its proper divisors (382199640).

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

150485160 is a wasteful number, since it uses less digits than its factorization.

150485160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5831 (or 5827 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 150485160 is about 12267.2392982284. The cubic root of 150485160 is about 531.9015119094.

The spelling of 150485160 in words is "one hundred fifty million, four hundred eighty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 2170 2604 3255 3720 4340 5208 5779 6510 8680 11558 13020 17337 23116 26040 28895 34674 40453 46232 57790 69348 80906 86685 115580 121359 138696 161812 173370 179149 202265 231160 242718 323624 346740 358298 404530 485436 537447 606795 693480 716596 809060 895745 970872 1074894 1213590 1254043 1433192 1618120 1791490 2149788 2427180 2508086 2687235 3582980 3762129 4299576 4854360 5016172 5374470 6270215 7165960 7524258 10032344 10748940 12540430 15048516 18810645 21497880 25080860 30097032 37621290 50161720 75242580 150485160