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149127570 = 232517293361
BaseRepresentation
bin10001110001110…
…00000110010010
3101101121110120100
420320320012102
5301134040240
622444153230
73460364154
oct1070700622
9341543510
10149127570
11771a6829
1241b38816
1324b84a87
1415b3cad4
15d15ae30
hex8e38192

149127570 has 96 divisors (see below), whose sum is σ = 424822320. Its totient is φ = 36126720.

The previous prime is 149127551. The next prime is 149127571. The reversal of 149127570 is 75721941.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 106316721 + 42810849 = 10311^2 + 6543^2 .

It is not an unprimeable number, because it can be changed into a prime (149127571) 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 47 ways as a sum of consecutive naturals, for example, 42690 + ... + 46050.

Almost surely, 2149127570 is an apocalyptic number.

149127570 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 149127570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212411160).

149127570 is an abundant number, since it is smaller than the sum of its proper divisors (275694750).

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

149127570 is a wasteful number, since it uses less digits than its factorization.

149127570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 149127570 is about 12211.7799685386. The cubic root of 149127570 is about 530.2971752176.

The spelling of 149127570 in words is "one hundred forty-nine million, one hundred twenty-seven thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 29 30 34 45 51 58 85 87 90 102 145 153 170 174 255 261 290 306 435 493 510 522 765 870 986 1305 1479 1530 2465 2610 2958 3361 4437 4930 6722 7395 8874 10083 14790 16805 20166 22185 30249 33610 44370 50415 57137 60498 97469 100830 114274 151245 171411 194938 285685 292407 302490 342822 487345 514233 571370 584814 857055 877221 974690 1028466 1462035 1656973 1714110 1754442 2571165 2924070 3313946 4386105 4970919 5142330 8284865 8772210 9941838 14912757 16569730 24854595 29825514 49709190 74563785 149127570