Search a number
-
+
149620272 = 24353103571
BaseRepresentation
bin10001110101100…
…00011000110000
3101102112111102120
420322300120300
5301300322042
622502514240
73464515464
oct1072603060
9342474376
10149620272
1177502a1a
1242135980
1324cc8109
1415c2a4a4
15d206dec
hex8eb0630

149620272 has 80 divisors (see below), whose sum is σ = 398331648. Its totient is φ = 48372480.

The previous prime is 149620253. The next prime is 149620277. The reversal of 149620272 is 272026941.

It is not an unprimeable number, because it can be changed into a prime (149620277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261747 + ... + 262317.

Almost surely, 2149620272 is an apocalyptic number.

149620272 is a gapful number since it is divisible by the number (12) 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 149620272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199165824).

149620272 is an abundant number, since it is smaller than the sum of its proper divisors (248711376).

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

149620272 is a wasteful number, since it uses less digits than its factorization.

149620272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 149620272 is about 12231.9365596785. The cubic root of 149620272 is about 530.8805488133.

The spelling of 149620272 in words is "one hundred forty-nine million, six hundred twenty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 103 106 159 206 212 309 318 412 424 571 618 636 824 848 1142 1236 1272 1648 1713 2284 2472 2544 3426 4568 4944 5459 6852 9136 10918 13704 16377 21836 27408 30263 32754 43672 58813 60526 65508 87344 90789 117626 121052 131016 176439 181578 235252 242104 262032 352878 363156 470504 484208 705756 726312 941008 1411512 1452624 2823024 3117089 6234178 9351267 12468356 18702534 24936712 37405068 49873424 74810136 149620272