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157067127 = 337831043
BaseRepresentation
bin10010101110010…
…10011101110111
3101221112211121000
421113022131313
5310202122002
623330254343
73615022440
oct1127123567
9357484530
10157067127
1180729948
12447273b3
1326704839
1416c082c7
15dbc861c
hex95ca777

157067127 has 16 divisors (see below), whose sum is σ = 265934080. Its totient is φ = 89752536.

The previous prime is 157067107. The next prime is 157067137. The reversal of 157067127 is 721760751.

157067127 is a `hidden beast` number, since 1 + 570 + 67 + 1 + 27 = 666.

It is not a de Polignac number, because 157067127 - 27 = 157066999 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 157067091 and 157067100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157067107) 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, 415333 + ... + 415710.

It is an arithmetic number, because the mean of its divisors is an integer number (16620880).

Almost surely, 2157067127 is an apocalyptic number.

157067127 is a deficient number, since it is larger than the sum of its proper divisors (108866953).

157067127 is an equidigital number, since it uses as much as digits as its factorization.

157067127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831059 (or 831053 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 157067127 is about 12532.6424587954. The cubic root of 157067127 is about 539.5459454795.

The spelling of 157067127 in words is "one hundred fifty-seven million, sixty-seven thousand, one hundred twenty-seven".

Divisors: 1 3 7 9 21 27 63 189 831043 2493129 5817301 7479387 17451903 22438161 52355709 157067127