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150270460 = 22529972671
BaseRepresentation
bin10001111010011…
…11000111111100
3101110202112022121
420331033013330
5301432123320
622524452324
73503164204
oct1075170774
9343675277
10150270460
117790746a
12423aa0a4
1325195042
1415d59404
15d2d48aa
hex8f4f1fc

150270460 has 48 divisors (see below), whose sum is σ = 329938560. Its totient is φ = 57415680.

The previous prime is 150270457. The next prime is 150270469. The reversal of 150270460 is 64072051.

It is a super-2 number, since 2×1502704602 = 45162422297223200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150270469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54925 + ... + 57595.

It is an arithmetic number, because the mean of its divisors is an integer number (6873720).

Almost surely, 2150270460 is an apocalyptic number.

150270460 is a gapful number since it is divisible by the number (10) 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 150270460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164969280).

150270460 is an abundant number, since it is smaller than the sum of its proper divisors (179668100).

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

150270460 is a wasteful number, since it uses less digits than its factorization.

150270460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 150270460 is about 12258.4852245292. The cubic root of 150270460 is about 531.6484335598.

The spelling of 150270460 in words is "one hundred fifty million, two hundred seventy thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 97 116 145 194 290 388 485 580 970 1940 2671 2813 5342 5626 10684 11252 13355 14065 26710 28130 53420 56260 77459 154918 259087 309836 387295 518174 774590 1036348 1295435 1549180 2590870 5181740 7513523 15027046 30054092 37567615 75135230 150270460