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172141128 = 23322390849
BaseRepresentation
bin10100100001010…
…10101001001000
3102222220200020100
422100222221020
5323032004003
625025325400
74160114115
oct1220525110
9388820210
10172141128
11891951a5
1249796860
1329881a73
1418c0d90c
15101a4ba3
hexa42aa48

172141128 has 24 divisors (see below), whose sum is σ = 466215750. Its totient is φ = 57380352.

The previous prime is 172141117. The next prime is 172141141. The reversal of 172141128 is 821141271.

It can be written as a sum of positive squares in only one way, i.e., 97180164 + 74960964 = 9858^2 + 8658^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1721411282 = 59265135898224768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1195353 + ... + 1195496.

Almost surely, 2172141128 is an apocalyptic number.

172141128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

172141128 is an abundant number, since it is smaller than the sum of its proper divisors (294074622).

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

172141128 is a wasteful number, since it uses less digits than its factorization.

172141128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390861 (or 2390854 counting only the distinct ones).

The product of its digits is 896, while the sum is 27.

The square root of 172141128 is about 13120.2563999337. The cubic root of 172141128 is about 556.2818387196.

Adding to 172141128 its reverse (821141271), we get a palindrome (993282399).

It can be divided in two parts, 1721 and 41128, that added together give a square (42849 = 2072).

The spelling of 172141128 in words is "one hundred seventy-two million, one hundred forty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2390849 4781698 7172547 9563396 14345094 19126792 21517641 28690188 43035282 57380376 86070564 172141128