Search a number
-
+
170625042 = 2347379397
BaseRepresentation
bin10100010101110…
…00100000010010
3102220001122120000
422022320200102
5322140000132
624533030430
74141201050
oct1212704022
9386048500
10170625042
118834a135
1249185416
1329470983
14189371d0
15eea587c
hexa2b8812

170625042 has 80 divisors (see below), whose sum is σ = 439200960. Its totient is φ = 48498912.

The previous prime is 170625041. The next prime is 170625043. The reversal of 170625042 is 240526071.

It is an interprime number because it is at equal distance from previous prime (170625041) and next prime (170625043).

It is a super-2 number, since 2×1706250422 = 58225809915003528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 170624997 and 170625015.

It is not an unprimeable number, because it can be changed into a prime (170625041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 429588 + ... + 429984.

It is an arithmetic number, because the mean of its divisors is an integer number (5490012).

Almost surely, 2170625042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 170625042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219600480).

170625042 is an abundant number, since it is smaller than the sum of its proper divisors (268575918).

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

170625042 is a wasteful number, since it uses less digits than its factorization.

170625042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 170625042 is about 13062.3520852869. The cubic root of 170625042 is about 554.6439206077.

The spelling of 170625042 in words is "one hundred seventy million, six hundred twenty-five thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 379 397 567 758 794 1134 1137 1191 2274 2382 2653 2779 3411 3573 5306 5558 6822 7146 7959 8337 10233 10719 15918 16674 20466 21438 23877 25011 30699 32157 47754 50022 61398 64314 71631 75033 143262 150066 150463 214893 225099 300926 429786 450198 451389 902778 1053241 1354167 2106482 2708334 3159723 4062501 6319446 8125002 9479169 12187503 18958338 24375006 28437507 56875014 85312521 170625042