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150065244 = 2233734051
BaseRepresentation
bin10001111000111…
…01000001011100
3101110101002211000
420330131001130
5301404041434
622520230300
73501351000
oct1074350134
9343332730
10150065244
117778726a
124230b390
1325122804
1415d04700
15d293b99
hex8f1d05c

150065244 has 96 divisors (see below), whose sum is σ = 453824000. Its totient is φ = 42865200.

The previous prime is 150065233. The next prime is 150065257. The reversal of 150065244 is 442560051.

150065244 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 652 + 4 + 4 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35019 + ... + 39069.

Almost surely, 2150065244 is an apocalyptic number.

150065244 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 150065244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226912000).

150065244 is an abundant number, since it is smaller than the sum of its proper divisors (303758756).

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

150065244 is a wasteful number, since it uses less digits than its factorization.

150065244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 150065244 is about 12250.1119994880. Note that the first 3 decimals coincide. The cubic root of 150065244 is about 531.4063090867.

The spelling of 150065244 in words is "one hundred fifty million, sixty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 343 378 441 588 686 756 882 1029 1323 1372 1764 2058 2646 3087 4051 4116 5292 6174 8102 9261 12153 12348 16204 18522 24306 28357 36459 37044 48612 56714 72918 85071 109377 113428 145836 170142 198499 218754 255213 340284 396998 437508 510426 595497 765639 793996 1020852 1190994 1389493 1531278 1786491 2381988 2778986 3062556 3572982 4168479 5359473 5557972 7145964 8336958 10718946 12505437 16673916 21437892 25010874 37516311 50021748 75032622 150065244