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134414130 = 23529433593
BaseRepresentation
bin10000000001011…
…11111100110010
3100100220221112010
420000233330302
5233402223010
621200543350
73221333634
oct1000577462
9310827463
10134414130
1169967364
1239021b56
1321b029b6
1413bcca54
15bc01620
hex802ff32

134414130 has 64 divisors (see below), whose sum is σ = 341573760. Its totient is φ = 33793536.

The previous prime is 134414123. The next prime is 134414141. The reversal of 134414130 is 31414431.

It is a junction number, because it is equal to n+sod(n) for n = 134414097 and 134414106.

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 31 ways as a sum of consecutive naturals, for example, 35614 + ... + 39206.

It is an arithmetic number, because the mean of its divisors is an integer number (5337090).

Almost surely, 2134414130 is an apocalyptic number.

134414130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134414130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170786880).

134414130 is an abundant number, since it is smaller than the sum of its proper divisors (207159630).

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

134414130 is a wasteful number, since it uses less digits than its factorization.

134414130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 134414130 is about 11593.7107950820. The cubic root of 134414130 is about 512.2496163417.

Adding to 134414130 its reverse (31414431), we get a palindrome (165828561).

It can be divided in two parts, 13441 and 4130, that added together give a palindrome (17571).

The spelling of 134414130 in words is "one hundred thirty-four million, four hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 43 58 86 87 129 145 174 215 258 290 430 435 645 870 1247 1290 2494 3593 3741 6235 7186 7482 10779 12470 17965 18705 21558 35930 37410 53895 104197 107790 154499 208394 308998 312591 463497 520985 625182 772495 926994 1041970 1544990 1562955 2317485 3125910 4480471 4634970 8960942 13441413 22402355 26882826 44804710 67207065 134414130