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134590020 = 223517235737
BaseRepresentation
bin10000000010110…
…10111001000100
3100101020212210120
420001122321010
5233423340040
621204421540
73222665505
oct1001327104
9311225716
10134590020
1169a77524
12390a78b0
1321b64a86
1413c36bac
15bc387d0
hex805ae44

134590020 has 96 divisors (see below), whose sum is σ = 416441088. Its totient is φ = 32305152.

The previous prime is 134590019. The next prime is 134590051. The reversal of 134590020 is 20095431.

It is a super-2 number, since 2×1345900202 = 36228946967200800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20592 + ... + 26328.

It is an arithmetic number, because the mean of its divisors is an integer number (4337928).

Almost surely, 2134590020 is an apocalyptic number.

134590020 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 134590020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208220544).

134590020 is an abundant number, since it is smaller than the sum of its proper divisors (281851068).

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

134590020 is a wasteful number, since it uses less digits than its factorization.

134590020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5789 (or 5787 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 134590020 is about 11601.2938933552. The cubic root of 134590020 is about 512.4729567328.

The spelling of 134590020 in words is "one hundred thirty-four million, five hundred ninety thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 30 34 46 51 60 68 69 85 92 102 115 138 170 204 230 255 276 340 345 391 460 510 690 782 1020 1173 1380 1564 1955 2346 3910 4692 5737 5865 7820 11474 11730 17211 22948 23460 28685 34422 57370 68844 86055 97529 114740 131951 172110 195058 263902 292587 344220 390116 395853 487645 527804 585174 659755 791706 975290 1170348 1319510 1462935 1583412 1950580 1979265 2243167 2639020 2925870 3958530 4486334 5851740 6729501 7917060 8972668 11215835 13459002 22431670 26918004 33647505 44863340 67295010 134590020