Search a number
-
+
426280920 = 2335132631039
BaseRepresentation
bin11001011010001…
…000011111011000
31002201010022111020
4121122020133120
51333111442140
6110144402440
713364220342
oct3132103730
91081108436
10426280920
111a969618a
12ba916420
136a413840
1440886292
15276556d0
hex196887d8

426280920 has 128 divisors (see below), whose sum is σ = 1383782400. Its totient is φ = 104431104.

The previous prime is 426280913. The next prime is 426280957. The reversal of 426280920 is 29082624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409761 + ... + 410799.

It is an arithmetic number, because the mean of its divisors is an integer number (10810800).

Almost surely, 2426280920 is an apocalyptic number.

426280920 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 426280920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691891200).

426280920 is an abundant number, since it is smaller than the sum of its proper divisors (957501480).

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

426280920 is a wasteful number, since it uses less digits than its factorization.

426280920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 426280920 is about 20646.5716282389. The cubic root of 426280920 is about 752.6018787535.

The spelling of 426280920 in words is "four hundred twenty-six million, two hundred eighty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 263 312 390 520 526 780 789 1039 1052 1315 1560 1578 2078 2104 2630 3117 3156 3419 3945 4156 5195 5260 6234 6312 6838 7890 8312 10257 10390 10520 12468 13507 13676 15585 15780 17095 20514 20780 24936 27014 27352 31170 31560 34190 40521 41028 41560 51285 54028 62340 67535 68380 81042 82056 102570 108056 124680 135070 136760 162084 202605 205140 270140 273257 324168 405210 410280 540280 546514 810420 819771 1093028 1366285 1620840 1639542 2186056 2732570 3279084 3552341 4098855 5465140 6558168 7104682 8197710 10657023 10930280 14209364 16395420 17761705 21314046 28418728 32790840 35523410 42628092 53285115 71046820 85256184 106570230 142093640 213140460 426280920