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170040 = 233513109
BaseRepresentation
bin101001100000111000
322122020210
4221200320
520420130
63351120
71305513
oct514070
9278223
10170040
11106832
12824a0
135c520
1445d7a
15355b0
hex29838

170040 has 64 divisors (see below), whose sum is σ = 554400. Its totient is φ = 41472.

The previous prime is 170029. The next prime is 170047. The reversal of 170040 is 40071.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 169998 and 170025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (170047) by changing a digit.

170040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1506 + ... + 1614.

2170040 is an apocalyptic number.

170040 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 170040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277200).

170040 is an abundant number, since it is smaller than the sum of its proper divisors (384360).

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

170040 is a wasteful number, since it uses less digits than its factorization.

170040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 170040 is about 412.3590668337. The cubic root of 170040 is about 55.4009270568.

The spelling of 170040 in words is "one hundred seventy thousand, forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 109 120 130 156 195 218 260 312 327 390 436 520 545 654 780 872 1090 1308 1417 1560 1635 2180 2616 2834 3270 4251 4360 5668 6540 7085 8502 11336 13080 14170 17004 21255 28340 34008 42510 56680 85020 170040