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172064260 = 225311911453
BaseRepresentation
bin10100100000101…
…11111000000100
3102222202202210101
422100113320010
5323022024020
625023533444
74156344034
oct1220277004
9388682711
10172064260
1189142475
124975a284
1329855a94
1418bcd8c4
151018c00a
hexa417e04

172064260 has 48 divisors (see below), whose sum is σ = 375201792. Its totient is φ = 66211200.

The previous prime is 172064203. The next prime is 172064261. The reversal of 172064260 is 62460271.

It is a super-2 number, since 2×1720642602 = 59212219138695200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (172064261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117694 + ... + 119146.

It is an arithmetic number, because the mean of its divisors is an integer number (7816704).

Almost surely, 2172064260 is an apocalyptic number.

172064260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172064260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187600896).

172064260 is an abundant number, since it is smaller than the sum of its proper divisors (203137532).

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

172064260 is a wasteful number, since it uses less digits than its factorization.

172064260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 172064260 is about 13117.3267093566. The cubic root of 172064260 is about 556.1990255860.

The spelling of 172064260 in words is "one hundred seventy-two million, sixty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 191 310 382 620 764 955 1453 1910 2906 3820 5812 5921 7265 11842 14530 23684 29060 29605 45043 59210 90086 118420 180172 225215 277523 450430 555046 900860 1110092 1387615 2775230 5550460 8603213 17206426 34412852 43016065 86032130 172064260