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172126116 = 22327365497
BaseRepresentation
bin10100100001001…
…10111110100100
3102222212220122100
422100212332210
5323031013431
625025132100
74160022261
oct1220467644
9388786570
10172126116
1189184998
124978a030
1329877c96
1418c08268
15101a04e6
hexa426fa4

172126116 has 36 divisors (see below), whose sum is σ = 441063532. Its totient is φ = 56588544.

The previous prime is 172126103. The next prime is 172126117. The reversal of 172126116 is 611621271.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 91126116 + 81000000 = 9546^2 + 9000^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 172126116.

It is not an unprimeable number, because it can be changed into a prime (172126117) 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 11 ways as a sum of consecutive naturals, for example, 30121 + ... + 35376.

Almost surely, 2172126116 is an apocalyptic number.

It is an amenable number.

172126116 is an abundant number, since it is smaller than the sum of its proper divisors (268937416).

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

172126116 is a wasteful number, since it uses less digits than its factorization.

172126116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65580 (or 65575 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 172126116 is about 13119.6842949821. The cubic root of 172126116 is about 556.2656675972.

Adding to 172126116 its reverse (611621271), we get a palindrome (783747387).

The spelling of 172126116 in words is "one hundred seventy-two million, one hundred twenty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 65497 130994 196491 261988 392982 589473 785964 1178946 2357892 4781281 9562562 14343843 19125124 28687686 43031529 57375372 86063058 172126116