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150045660 = 223251973601
BaseRepresentation
bin10001111000110…
…00001111011100
3101110100002221200
420330120033130
5301402430120
622515555500
73501236622
oct1074301734
9343302850
10150045660
1177773586
12422bbb90
132511691b
1415cdb512
15d28ce90
hex8f183dc

150045660 has 144 divisors (see below), whose sum is σ = 486464160. Its totient is φ = 37324800.

The previous prime is 150045647. The next prime is 150045671. The reversal of 150045660 is 66540051.

It is a happy number.

150045660 is a `hidden beast` number, since 150 + 0 + 456 + 60 = 666.

150045660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 249360 + ... + 249960.

Almost surely, 2150045660 is an apocalyptic number.

150045660 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 150045660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243232080).

150045660 is an abundant number, since it is smaller than the sum of its proper divisors (336418500).

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

150045660 is a wasteful number, since it uses less digits than its factorization.

150045660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 150045660 is about 12249.3126337766. The cubic root of 150045660 is about 531.3831913333.

The spelling of 150045660 in words is "one hundred fifty million, forty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 73 76 90 95 114 146 171 180 190 219 228 285 292 342 365 380 438 570 601 657 684 730 855 876 1095 1140 1202 1314 1387 1460 1710 1803 2190 2404 2628 2774 3005 3285 3420 3606 4161 4380 5409 5548 6010 6570 6935 7212 8322 9015 10818 11419 12020 12483 13140 13870 16644 18030 20805 21636 22838 24966 27045 27740 34257 36060 41610 43873 45676 49932 54090 57095 62415 68514 83220 87746 102771 108180 114190 124830 131619 137028 171285 175492 205542 219365 228380 249660 263238 342570 394857 411084 438730 513855 526476 658095 685140 789714 833587 877460 1027710 1316190 1579428 1667174 1974285 2055420 2500761 2632380 3334348 3948570 4167935 5001522 7502283 7897140 8335870 10003044 12503805 15004566 16671740 25007610 30009132 37511415 50015220 75022830 150045660