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150957027 = 3413232271
BaseRepresentation
bin10001111111101…
…10101111100011
3101112001102010000
420333312233203
5302121111102
622551311043
73512053644
oct1077665743
9345042100
10150957027
1178236281
124267b483
13253756b0
14160976cb
15d3bd01c
hex8ff6be3

150957027 has 60 divisors (see below), whose sum is σ = 254804704. Its totient is φ = 88529760.

The previous prime is 150957017. The next prime is 150957031. The reversal of 150957027 is 720759051.

It is not a de Polignac number, because 150957027 - 212 = 150952931 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 150956982 and 150957000.

It is not an unprimeable number, because it can be changed into a prime (150957017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 556902 + ... + 557172.

Almost surely, 2150957027 is an apocalyptic number.

150957027 is a deficient number, since it is larger than the sum of its proper divisors (103847677).

150957027 is a wasteful number, since it uses less digits than its factorization.

150957027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 150957027 is about 12286.4570564504. The cubic root of 150957027 is about 532.4568820473.

It can be divided in two parts, 15095 and 7027, that added together give a palindrome (22122).

The spelling of 150957027 in words is "one hundred fifty million, nine hundred fifty-seven thousand, twenty-seven".

Divisors: 1 3 9 13 23 27 39 69 81 117 207 271 299 351 529 621 813 897 1053 1587 1863 2439 2691 3523 4761 6233 6877 7317 8073 10569 14283 18699 20631 21951 24219 31707 42849 56097 61893 81029 95121 143359 168291 185679 243087 285363 430077 504873 557037 729261 1290231 1863667 2187783 3870693 5591001 6563349 11612079 16773003 50319009 150957027