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4172195340 = 22325169313691
BaseRepresentation
bin1111100010101110…
…1010011000001100
3101202202201111001100
43320223222120030
532021040222330
61530000343100
7205251034545
oct37053523014
911682644040
104172195340
111851106125
12985314a90
135164c2051
142b81794cc
1519643b060
hexf8aea60c

4172195340 has 72 divisors (see below), whose sum is σ = 12664059408. Its totient is φ = 1111847040.

The previous prime is 4172195327. The next prime is 4172195341. The reversal of 4172195340 is 435912714.

4172195340 is a `hidden beast` number, since 41 + 72 + 19 + 534 + 0 = 666.

4172195340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4172195295 and 4172195304.

It is not an unprimeable number, because it can be changed into a prime (4172195341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297895 + ... + 311585.

It is an arithmetic number, because the mean of its divisors is an integer number (175889714).

Almost surely, 24172195340 is an apocalyptic number.

It is an amenable number.

4172195340 is an abundant number, since it is smaller than the sum of its proper divisors (8491864068).

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

4172195340 is a wasteful number, since it uses less digits than its factorization.

4172195340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15399 (or 15394 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4172195340 is about 64592.5331598011. The cubic root of 4172195340 is about 1609.8603765085.

The spelling of 4172195340 in words is "four billion, one hundred seventy-two million, one hundred ninety-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1693 3386 5079 6772 8465 10158 13691 15237 16930 20316 25395 27382 30474 33860 41073 50790 54764 60948 68455 76185 82146 101580 123219 136910 152370 164292 205365 246438 273820 304740 410730 492876 616095 821460 1232190 2464380 23178863 46357726 69536589 92715452 115894315 139073178 208609767 231788630 278146356 347682945 417219534 463577260 695365890 834439068 1043048835 1390731780 2086097670 4172195340