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150294150 = 23352163683
BaseRepresentation
bin10001111010101…
…00111010000110
3101110210201211000
420331110322012
5301433403100
622525154130
73503323236
oct1075247206
9343721730
10150294150
1177923246
12423bb946
13251a2a66
1415d63cc6
15d2db900
hex8f54e86

150294150 has 96 divisors (see below), whose sum is σ = 417294720. Its totient is φ = 39774240.

The previous prime is 150294139. The next prime is 150294163. The reversal of 150294150 is 51492051.

150294150 is a `hidden beast` number, since 1 + 502 + 9 + 4 + 150 = 666.

150294150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 219709 + ... + 220391.

It is an arithmetic number, because the mean of its divisors is an integer number (4346820).

Almost surely, 2150294150 is an apocalyptic number.

150294150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150294150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208647360).

150294150 is an abundant number, since it is smaller than the sum of its proper divisors (267000570).

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

150294150 is a wasteful number, since it uses less digits than its factorization.

150294150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 150294150 is about 12259.4514559176. The cubic root of 150294150 is about 531.6763700542.

The spelling of 150294150 in words is "one hundred fifty million, two hundred ninety-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 163 225 270 326 450 489 675 683 815 978 1350 1366 1467 1630 2049 2445 2934 3415 4075 4098 4401 4890 6147 6830 7335 8150 8802 10245 12225 12294 14670 17075 18441 20490 22005 24450 30735 34150 36675 36882 44010 51225 61470 73350 92205 102450 110025 111329 153675 184410 220050 222658 307350 333987 461025 556645 667974 922050 1001961 1113290 1669935 2003922 2783225 3005883 3339870 5009805 5566450 6011766 8349675 10019610 15029415 16699350 25049025 30058830 50098050 75147075 150294150