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134423040 = 293523761
BaseRepresentation
bin10000000001100…
…10001000000000
3100100221101202010
420000302020000
5233403014130
621201052520
73221401623
oct1000621000
9310841663
10134423040
1169973024
1239027140
1321b06a7b
1413bd1dba
15bc040b0
hex8032200

134423040 has 160 divisors (see below), whose sum is σ = 449006976. Its totient is φ = 34242560.

The previous prime is 134423011. The next prime is 134423041. The reversal of 134423040 is 40324431.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 134422998 and 134423016.

It is not an unprimeable number, because it can be changed into a prime (134423041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176260 + ... + 177020.

Almost surely, 2134423040 is an apocalyptic number.

134423040 is a gapful number since it is divisible by the number (10) 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 134423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224503488).

134423040 is an abundant number, since it is smaller than the sum of its proper divisors (314583936).

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

134423040 is an equidigital number, since it uses as much as digits as its factorization.

134423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 134423040 is about 11594.0950487738. The cubic root of 134423040 is about 512.2609347035.

Adding to 134423040 its reverse (40324431), we get a palindrome (174747471).

The spelling of 134423040 in words is "one hundred thirty-four million, four hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 512 552 640 690 736 761 768 920 960 1104 1280 1380 1472 1522 1536 1840 1920 2208 2283 2560 2760 2944 3044 3680 3805 3840 4416 4566 5520 5888 6088 7360 7610 7680 8832 9132 11040 11415 11776 12176 14720 15220 17503 17664 18264 22080 22830 24352 29440 30440 35006 35328 36528 44160 45660 48704 52509 58880 60880 70012 73056 87515 88320 91320 97408 105018 121760 140024 146112 175030 176640 182640 194816 210036 243520 262545 280048 292224 350060 365280 389632 420072 487040 525090 560096 584448 700120 730560 840144 974080 1050180 1120192 1168896 1400240 1461120 1680288 1948160 2100360 2240384 2800480 2922240 3360576 4200720 4480768 5600960 5844480 6721152 8401440 8961536 11201920 13442304 16802880 22403840 26884608 33605760 44807680 67211520 134423040