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425420160 = 27351120143
BaseRepresentation
bin11001010110110…
…110010110000000
31002122111120202020
4121112312112000
51332401421120
6110114121440
713354004004
oct3126662600
91078446666
10425420160
111a9158510
12ba580280
136a1a1b09
1440700704
1527535640
hex195b6580

425420160 has 128 divisors (see below), whose sum is σ = 1479375360. Its totient is φ = 103127040.

The previous prime is 425420159. The next prime is 425420183. The reversal of 425420160 is 61024524.

425420160 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 425420160.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11049 + ... + 31191.

It is an arithmetic number, because the mean of its divisors is an integer number (11557620).

Almost surely, 2425420160 is an apocalyptic number.

425420160 is a gapful number since it is divisible by the number (40) 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 425420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739687680).

425420160 is an abundant number, since it is smaller than the sum of its proper divisors (1053955200).

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

425420160 is a wasteful number, since it uses less digits than its factorization.

425420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20176 (or 20164 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 425420160 is about 20625.7159875724. The cubic root of 425420160 is about 752.0949781953.

Adding to 425420160 its reverse (61024524), we get a palindrome (486444684).

The spelling of 425420160 in words is "four hundred twenty-five million, four hundred twenty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 20143 21120 40286 60429 80572 100715 120858 161144 201430 221573 241716 302145 322288 402860 443146 483432 604290 644576 664719 805720 886292 966864 1107865 1208580 1289152 1329438 1611440 1772584 1933728 2215730 2417160 2578304 2658876 3222880 3323595 3545168 3867456 4431460 4834320 5317752 6445760 6647190 7090336 7734912 8862920 9668640 10635504 12891520 13294380 14180672 17725840 19337280 21271008 26588760 28361344 35451680 38674560 42542016 53177520 70903360 85084032 106355040 141806720 212710080 425420160