Search a number
-
+
134339520 = 2635719991
BaseRepresentation
bin10000000000111…
…01101111000000
3100100210011011210
420000131233000
5233342331040
621155210120
73220603260
oct1000355700
9310704153
10134339520
11699162a7
1238ba6940
1321aa7a53
1413bad7a0
15bbd9480
hex801dbc0

134339520 has 112 divisors (see below), whose sum is σ = 487484928. Its totient is φ = 30704640.

The previous prime is 134339509. The next prime is 134339521. The reversal of 134339520 is 25933431.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134339521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3276 + ... + 16715.

It is an arithmetic number, because the mean of its divisors is an integer number (4352544).

Almost surely, 2134339520 is an apocalyptic number.

134339520 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 134339520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243742464).

134339520 is an abundant number, since it is smaller than the sum of its proper divisors (353145408).

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

134339520 is a wasteful number, since it uses less digits than its factorization.

134339520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20018 (or 20008 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 134339520 is about 11590.4926556208. The cubic root of 134339520 is about 512.1548197170.

The spelling of 134339520 in words is "one hundred thirty-four million, three hundred thirty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 19991 39982 59973 79964 99955 119946 139937 159928 199910 239892 279874 299865 319856 399820 419811 479784 559748 599730 639712 699685 799640 839622 959568 1119496 1199460 1279424 1399370 1599280 1679244 1919136 2099055 2238992 2398920 2798740 3198560 3358488 3838272 4198110 4477984 4797840 5597480 6397120 6716976 8396220 8955968 9595680 11194960 13433952 16792440 19191360 22389920 26867904 33584880 44779840 67169760 134339520