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150241460 = 22529377001
BaseRepresentation
bin10001111010010…
…00000010110100
3101110201001112112
420331020002310
5301430211320
622524110152
73503013515
oct1075100264
9343631475
10150241460
11778976a6
1242395358
1325184a95
1415d4ca0c
15d2caec5
hex8f480b4

150241460 has 48 divisors (see below), whose sum is σ = 335255760. Its totient is φ = 56448000.

The previous prime is 150241453. The next prime is 150241463. The reversal of 150241460 is 64142051.

It can be written as a sum of positive squares in 8 ways, for example, as 2521744 + 147719716 = 1588^2 + 12154^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150241463) 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, 17960 + ... + 24960.

It is an arithmetic number, because the mean of its divisors is an integer number (6984495).

Almost surely, 2150241460 is an apocalyptic number.

150241460 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 150241460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167627880).

150241460 is an abundant number, since it is smaller than the sum of its proper divisors (185014300).

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

150241460 is a wasteful number, since it uses less digits than its factorization.

150241460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7076 (or 7074 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 150241460 is about 12257.3023133151. The cubic root of 150241460 is about 531.6142312367.

The spelling of 150241460 in words is "one hundred fifty million, two hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 185 290 370 580 740 1073 2146 4292 5365 7001 10730 14002 21460 28004 35005 70010 140020 203029 259037 406058 518074 812116 1015145 1036148 1295185 2030290 2590370 4060580 5180740 7512073 15024146 30048292 37560365 75120730 150241460