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426201160 = 235711197283
BaseRepresentation
bin11001011001110…
…101000001001000
31002200222021002011
4121121311001020
51333101414120
6110142545304
713363435660
oct3131650110
91080867064
10426201160
111a9641270
12ba898234
136a3b6448
14408651a0
152763bc5a
hex19675048

426201160 has 128 divisors (see below), whose sum is σ = 1258675200. Its totient is φ = 125832960.

The previous prime is 426201157. The next prime is 426201161. The reversal of 426201160 is 61102624.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (426201161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54879 + ... + 62161.

It is an arithmetic number, because the mean of its divisors is an integer number (9833400).

Almost surely, 2426201160 is an apocalyptic number.

426201160 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 426201160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629337600).

426201160 is an abundant number, since it is smaller than the sum of its proper divisors (832474040).

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

426201160 is a wasteful number, since it uses less digits than its factorization.

426201160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7331 (or 7327 counting only the distinct ones).

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

The square root of 426201160 is about 20644.6399823296. The cubic root of 426201160 is about 752.5549368839.

Adding to 426201160 its reverse (61102624), we get a palindrome (487303784).

The spelling of 426201160 in words is "four hundred twenty-six million, two hundred one thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 19 20 22 28 35 38 40 44 55 56 70 76 77 88 95 110 133 140 152 154 190 209 220 266 280 308 380 385 418 440 532 616 665 760 770 836 1045 1064 1330 1463 1540 1672 2090 2660 2926 3080 4180 5320 5852 7283 7315 8360 11704 14566 14630 29132 29260 36415 50981 58264 58520 72830 80113 101962 138377 145660 160226 203924 254905 276754 291320 320452 400565 407848 509810 553508 560791 640904 691885 801130 968639 1019620 1107016 1121582 1383770 1522147 1602260 1937278 2039240 2243164 2767540 2803955 3044294 3204520 3874556 4486328 4843195 5535080 5607910 6088588 7610735 7749112 9686390 10655029 11215820 12177176 15221470 19372780 21310058 22431640 30442940 38745560 42620116 53275145 60885880 85240232 106550290 213100580 426201160