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134671240 = 235111989181
BaseRepresentation
bin10000000011011…
…10101110001000
3100101102000012201
420001232232020
5233433434430
621210245544
73223454344
oct1001565610
9311360181
10134671240
116a022550
12391268b4
1321b92a32
1413c58624
15bc528ca
hex806eb88

134671240 has 128 divisors (see below), whose sum is σ = 353808000. Its totient is φ = 45619200.

The previous prime is 134671237. The next prime is 134671241. The reversal of 134671240 is 42176431.

It is a junction number, because it is equal to n+sod(n) for n = 134671199 and 134671208.

It is not an unprimeable number, because it can be changed into a prime (134671241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743950 + ... + 744130.

It is an arithmetic number, because the mean of its divisors is an integer number (2764125).

Almost surely, 2134671240 is an apocalyptic number.

134671240 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 134671240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904000).

134671240 is an abundant number, since it is smaller than the sum of its proper divisors (219136760).

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

134671240 is a wasteful number, since it uses less digits than its factorization.

134671240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 134671240 is about 11604.7938370313. The cubic root of 134671240 is about 512.5760220362.

The spelling of 134671240 in words is "one hundred thirty-four million, six hundred seventy-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 89 95 110 152 178 181 190 209 220 356 362 380 418 440 445 712 724 760 836 890 905 979 1045 1448 1672 1691 1780 1810 1958 1991 2090 3382 3439 3560 3620 3916 3982 4180 4895 6764 6878 7240 7832 7964 8360 8455 9790 9955 13528 13756 15928 16109 16910 17195 18601 19580 19910 27512 32218 33820 34390 37202 37829 39160 39820 64436 67640 68780 74404 75658 79640 80545 93005 128872 137560 148808 151316 161090 177199 186010 189145 302632 306071 322180 354398 372020 378290 612142 644360 708796 744040 756580 885995 1224284 1417592 1513160 1530355 1771990 2448568 3060710 3366781 3543980 6121420 6733562 7087960 12242840 13467124 16833905 26934248 33667810 67335620 134671240