Search a number
-
+
134123580 = 223352310799
BaseRepresentation
bin1111111111010…
…01000000111100
3100100101011222000
413333221000330
5233313423310
621150422300
73216013563
oct777510074
9310334860
10134123580
1169789038
1238b01990
1321a30686
1413b54bda
15bb954c0
hex7fe903c

134123580 has 96 divisors (see below), whose sum is σ = 435456000. Its totient is φ = 34208064.

The previous prime is 134123551. The next prime is 134123581. The reversal of 134123580 is 85321431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134123581) 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, 7021 + ... + 17819.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 2134123580 is an apocalyptic number.

134123580 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 134123580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

134123580 is an abundant number, since it is smaller than the sum of its proper divisors (301332420).

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

134123580 is a wasteful number, since it uses less digits than its factorization.

134123580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10840 (or 10832 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 134123580 is about 11581.1735156676. The cubic root of 134123580 is about 511.8802566246.

The spelling of 134123580 in words is "one hundred thirty-four million, one hundred twenty-three thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 10799 12420 21598 32397 43196 53995 64794 97191 107990 129588 161985 194382 215980 248377 291573 323970 388764 485955 496754 583146 647940 745131 971910 993508 1166292 1241885 1457865 1490262 1943820 2235393 2483770 2915730 2980524 3725655 4470786 4967540 5831460 6706179 7451310 8941572 11176965 13412358 14902620 22353930 26824716 33530895 44707860 67061790 134123580