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150942272 = 2613181421
BaseRepresentation
bin10001111111100…
…11001001000000
3101112000122212112
420333303021000
5302120123042
622551114452
73511662635
oct1077631100
9345018775
10150942272
1178226188
1242672a28
132536ba70
141609218c
15d3b8982
hex8ff3240

150942272 has 28 divisors (see below), whose sum is σ = 322568316. Its totient is φ = 69665280.

The previous prime is 150942271. The next prime is 150942299. The reversal of 150942272 is 272249051.

It can be written as a sum of positive squares in 2 ways, for example, as 30294016 + 120648256 = 5504^2 + 10984^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (150942271) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 89879 + ... + 91542.

It is an arithmetic number, because the mean of its divisors is an integer number (11520297).

Almost surely, 2150942272 is an apocalyptic number.

It is an amenable number.

150942272 is an abundant number, since it is smaller than the sum of its proper divisors (171626044).

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

150942272 is a wasteful number, since it uses less digits than its factorization.

150942272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181446 (or 181436 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 150942272 is about 12285.8565838935. The cubic root of 150942272 is about 532.4395334958.

The spelling of 150942272 in words is "one hundred fifty million, nine hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 181421 362842 725684 1451368 2358473 2902736 4716946 5805472 9433892 11610944 18867784 37735568 75471136 150942272