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150666264 = 23337251397
BaseRepresentation
bin10001111101011…
…11110000011000
3101111111122021000
420332233300120
5302032310024
622541145000
73506433150
oct1076576030
9344448230
10150666264
1178057881
124255b160
13252a3248
141601d760
15d361cc9
hex8fafc18

150666264 has 128 divisors (see below), whose sum is σ = 481420800. Its totient is φ = 42768000.

The previous prime is 150666259. The next prime is 150666287. The reversal of 150666264 is 462666051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379314 + ... + 379710.

It is an arithmetic number, because the mean of its divisors is an integer number (3761100).

Almost surely, 2150666264 is an apocalyptic number.

150666264 is a gapful number since it is divisible by the number (14) 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 150666264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240710400).

150666264 is an abundant number, since it is smaller than the sum of its proper divisors (330754536).

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

150666264 is a wasteful number, since it uses less digits than its factorization.

150666264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 150666264 is about 12274.6186906152. The cubic root of 150666264 is about 532.1148017649.

The spelling of 150666264 in words is "one hundred fifty million, six hundred sixty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 251 252 378 397 502 504 753 756 794 1004 1191 1506 1512 1588 1757 2008 2259 2382 2779 3012 3176 3514 3573 4518 4764 5271 5558 6024 6777 7028 7146 8337 9036 9528 10542 10719 11116 13554 14056 14292 15813 16674 18072 21084 21438 22232 25011 27108 28584 31626 33348 42168 42876 47439 50022 54216 63252 66696 75033 85752 94878 99647 100044 126504 150066 189756 199294 200088 298941 300132 379512 398588 597882 600264 697529 797176 896823 1195764 1395058 1793646 2092587 2391528 2690469 2790116 3587292 4185174 5380938 5580232 6277761 7174584 8370348 10761876 12555522 16740696 18833283 21523752 25111044 37666566 50222088 75333132 150666264