[go: up one dir, main page]

Search a number
-
+
168240 = 2435701
BaseRepresentation
bin101001000100110000
322112210010
4221010300
520340430
63334520
71300332
oct510460
9275703
10168240
11105446
1281440
135b767
1445452
1534cb0
hex29130

168240 has 40 divisors (see below), whose sum is σ = 522288. Its totient is φ = 44800.

The previous prime is 168227. The next prime is 168247. The reversal of 168240 is 42861.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (168247) by changing a digit.

168240 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111 + ... + 590.

2168240 is an apocalyptic number.

168240 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 168240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261144).

168240 is an abundant number, since it is smaller than the sum of its proper divisors (354048).

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

168240 is a wasteful number, since it uses less digits than its factorization.

168240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 168240 is about 410.1706961742. The cubic root of 168240 is about 55.2047464938.

It can be divided in two parts, 16 and 8240, that added together give a triangular number (8256 = T128).

The spelling of 168240 in words is "one hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 701 1402 2103 2804 3505 4206 5608 7010 8412 10515 11216 14020 16824 21030 28040 33648 42060 56080 84120 168240