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426135160 = 2351143101223
BaseRepresentation
bin11001011001100…
…100111001111000
31002200211220112201
4121121210321320
51333042311120
6110141315544
713363042363
oct3131447170
91080756481
10426135160
111a95a6720
12ba865bb4
136a3923a9
14408490da
152762740a
hex19664e78

426135160 has 128 divisors (see below), whose sum is σ = 1085736960. Its totient is φ = 149184000.

The previous prime is 426135139. The next prime is 426135163. The reversal of 426135160 is 61531624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426135163) 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, 1910809 + ... + 1911031.

It is an arithmetic number, because the mean of its divisors is an integer number (8482320).

Almost surely, 2426135160 is an apocalyptic number.

426135160 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 426135160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542868480).

426135160 is an abundant number, since it is smaller than the sum of its proper divisors (659601800).

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

426135160 is a wasteful number, since it uses less digits than its factorization.

426135160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 426135160 is about 20643.0414425782. The cubic root of 426135160 is about 752.5160888824.

Adding to 426135160 its reverse (61531624), we get a palindrome (487666784).

The spelling of 426135160 in words is "four hundred twenty-six million, one hundred thirty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 101 110 172 202 215 220 223 344 404 430 440 446 473 505 808 860 892 946 1010 1111 1115 1720 1784 1892 2020 2222 2230 2365 2453 3784 4040 4343 4444 4460 4730 4906 5555 8686 8888 8920 9460 9589 9812 11110 12265 17372 18920 19178 19624 21715 22220 22523 24530 34744 38356 43430 44440 45046 47773 47945 49060 76712 86860 90092 95546 95890 98120 105479 112615 173720 180184 191092 191780 210958 225230 238865 247753 382184 383560 421916 450460 477730 495506 527395 843832 900920 955460 968489 991012 1054790 1238765 1910920 1936978 1982024 2109580 2477530 3873956 4219160 4842445 4955060 7747912 9684890 9910120 10653379 19369780 21306758 38739560 42613516 53266895 85227032 106533790 213067580 426135160