Search a number
-
+
168030040 = 235171092267
BaseRepresentation
bin10100000001111…
…10111101011000
3102201011210212211
422000332331120
5321003430130
624401244504
74110142333
oct1200767530
9381153784
10168030040
1186937502
1248333734
1328a72779
141845d61a
15eb41a2a
hexa03ef58

168030040 has 64 divisors (see below), whose sum is σ = 404157600. Its totient is φ = 62650368.

The previous prime is 168030007. The next prime is 168030059. The reversal of 168030040 is 40030861.

168030040 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 = 168029993 and 168030020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72987 + ... + 75253.

Almost surely, 2168030040 is an apocalyptic number.

168030040 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 168030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202078800).

168030040 is an abundant number, since it is smaller than the sum of its proper divisors (236127560).

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

168030040 is a wasteful number, since it uses less digits than its factorization.

168030040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 168030040 is about 12962.6401631766. The cubic root of 168030040 is about 551.8177214441.

The spelling of 168030040 in words is "one hundred sixty-eight million, thirty thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 109 136 170 218 340 436 545 680 872 1090 1853 2180 2267 3706 4360 4534 7412 9068 9265 11335 14824 18136 18530 22670 37060 38539 45340 74120 77078 90680 154156 192695 247103 308312 385390 494206 770780 988412 1235515 1541560 1976824 2471030 4200751 4942060 8401502 9884120 16803004 21003755 33606008 42007510 84015020 168030040