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172097440 = 2551956611
BaseRepresentation
bin10100100000111…
…11111110100000
3102222211110022021
422100133332200
5323024104230
625024351224
74156542544
oct1220377640
9388743267
10172097440
1189165399
1249775514
1329867c08
1418bdba24
1510196c7a
hexa41ffa0

172097440 has 48 divisors (see below), whose sum is σ = 427986720. Its totient is φ = 65214720.

The previous prime is 172097423. The next prime is 172097441. The reversal of 172097440 is 44790271.

172097440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 172097396 and 172097405.

It is not an unprimeable number, because it can be changed into a prime (172097441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25266 + ... + 31345.

It is an arithmetic number, because the mean of its divisors is an integer number (8916390).

Almost surely, 2172097440 is an apocalyptic number.

172097440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172097440 is an abundant number, since it is smaller than the sum of its proper divisors (255889280).

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

172097440 is a wasteful number, since it uses less digits than its factorization.

172097440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56645 (or 56637 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 172097440 is about 13118.5913877977. The cubic root of 172097440 is about 556.2347748221.

It can be divided in two parts, 17209 and 7440, that added together give a square (24649 = 1572).

The spelling of 172097440 in words is "one hundred seventy-two million, ninety-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 56611 113222 226444 283055 452888 566110 905776 1075609 1132220 1811552 2151218 2264440 4302436 4528880 5378045 8604872 9057760 10756090 17209744 21512180 34419488 43024360 86048720 172097440