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20334160 = 2457113301
BaseRepresentation
bin100110110010…
…0011001010000
31102021002020001
41031210121100
520201143120
62003455344
7334560160
oct115443120
942232201
1020334160
11105293a0
126987554
13429c562
1429b45a0
151bb9e0a
hex1364650

20334160 has 80 divisors (see below), whose sum is σ = 58960512. Its totient is φ = 6336000.

The previous prime is 20334151. The next prime is 20334163. The reversal of 20334160 is 6143302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20334163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4510 + ... + 7810.

Almost surely, 220334160 is an apocalyptic number.

20334160 is a gapful number since it is divisible by the number (20) 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 20334160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29480256).

20334160 is an abundant number, since it is smaller than the sum of its proper divisors (38626352).

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

20334160 is a wasteful number, since it uses less digits than its factorization.

20334160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3332 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 20334160 is about 4509.3414153289. The cubic root of 20334160 is about 272.9451691642.

Adding to 20334160 its reverse (6143302), we get a palindrome (26477462).

It can be divided in two parts, 203341 and 60, that added together give a square (203401 = 4512).

The spelling of 20334160 in words is "twenty million, three hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 3301 6160 6602 13204 16505 23107 26408 33010 36311 46214 52816 66020 72622 92428 115535 132040 145244 181555 184856 231070 254177 264080 290488 363110 369712 462140 508354 580976 726220 924280 1016708 1270885 1452440 1848560 2033416 2541770 2904880 4066832 5083540 10167080 20334160