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134565640 = 235112313297
BaseRepresentation
bin10000000010101…
…00111100001000
3100101012122100121
420001110330020
5233422100030
621204113024
73222534436
oct1001247410
9311178317
10134565640
1169a60180
1239095774
1321b56951
1413c2bd56
15bc3147a
hex8054f08

134565640 has 64 divisors (see below), whose sum is σ = 344684160. Its totient is φ = 46801920.

The previous prime is 134565593. The next prime is 134565643. The reversal of 134565640 is 46565431.

It is a super-2 number, since 2×1345656402 = 36215822937219200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134565596 and 134565605.

It is not an unprimeable number, because it can be changed into a prime (134565643) 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, 3472 + ... + 16768.

It is an arithmetic number, because the mean of its divisors is an integer number (5385690).

Almost surely, 2134565640 is an apocalyptic number.

134565640 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 134565640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172342080).

134565640 is an abundant number, since it is smaller than the sum of its proper divisors (210118520).

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

134565640 is a wasteful number, since it uses less digits than its factorization.

134565640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13342 (or 13338 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 134565640 is about 11600.2431009009. The cubic root of 134565640 is about 512.4420112854.

The spelling of 134565640 in words is "one hundred thirty-four million, five hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 13297 26594 53188 66485 106376 132970 146267 265940 292534 305831 531880 585068 611662 731335 1170136 1223324 1462670 1529155 2446648 2925340 3058310 3364141 5850680 6116620 6728282 12233240 13456564 16820705 26913128 33641410 67282820 134565640