Search a number
-
+
134531040 = 2535740039
BaseRepresentation
bin10000000010011…
…00011111100000
3100101010212220010
420001030133200
5233414443130
621203244520
73222331530
oct1001143740
9311125803
10134531040
1169a37186
1239079740
1321b43c87
1413c1d4c0
15bc260b0
hex804c7e0

134531040 has 96 divisors (see below), whose sum is σ = 484323840. Its totient is φ = 30749184.

The previous prime is 134531017. The next prime is 134531051. The reversal of 134531040 is 40135431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 134530998 and 134531016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16660 + ... + 23379.

It is an arithmetic number, because the mean of its divisors is an integer number (5045040).

Almost surely, 2134531040 is an apocalyptic number.

134531040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134531040 is an abundant number, since it is smaller than the sum of its proper divisors (349792800).

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

134531040 is a wasteful number, since it uses less digits than its factorization.

134531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40064 (or 40056 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 134531040 is about 11598.7516569672. The cubic root of 134531040 is about 512.3980872113.

Adding to 134531040 its reverse (40135431), we get a palindrome (174666471).

It can be divided in two parts, 1345 and 31040, that added together give a triangular number (32385 = T254).

The spelling of 134531040 in words is "one hundred thirty-four million, five hundred thirty-one thousand, forty".

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 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 40039 80078 120117 160156 200195 240234 280273 320312 400390 480468 560546 600585 640624 800780 840819 960936 1121092 1201170 1281248 1401365 1601560 1681638 1921872 2242184 2402340 2802730 3203120 3363276 3843744 4204095 4484368 4804680 5605460 6406240 6726552 8408190 8968736 9609360 11210920 13453104 16816380 19218720 22421840 26906208 33632760 44843680 67265520 134531040