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155341000530 = 2345273170223
BaseRepresentation
bin1001000010101100001…
…0111000111101010010
3112211221222111110020000
42100223002320331102
510021114244004110
6155210200430430
714136331501242
oct2205302707522
9484858443200
10155341000530
115a974a43981
1226133478416
1311857c62bc1
147738c59b22
1540929431c0
hex242b0b8f52

155341000530 has 80 divisors (see below), whose sum is σ = 417853586304. Its totient is φ = 41408508960.

The previous prime is 155341000483. The next prime is 155341000543. The reversal of 155341000530 is 35000143551.

155341000530 is a `hidden beast` number, since 1 + 553 + 4 + 100 + 0 + 5 + 3 + 0 = 666.

It is a super-2 number, since 2×1553410005302 (a number of 23 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 155341000494 and 155341000503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2176999 + ... + 2247221.

Almost surely, 2155341000530 is an apocalyptic number.

155341000530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

155341000530 is an abundant number, since it is smaller than the sum of its proper divisors (262512585774).

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

155341000530 is a wasteful number, since it uses less digits than its factorization.

155341000530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72973 (or 72964 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

It can be divided in two parts, 15534 and 1000530, that added together give a square (1016064 = 10082).

The spelling of 155341000530 in words is "one hundred fifty-five billion, three hundred forty-one million, five hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 2731 5462 8193 13655 16386 24579 27310 40965 49158 70223 73737 81930 122895 140446 147474 210669 221211 245790 351115 368685 421338 442422 632007 702230 737370 1053345 1106055 1264014 1896021 2106690 2212110 3160035 3792042 5688063 6320070 9480105 11376126 18960210 28440315 56880630 191779013 383558026 575337039 958895065 1150674078 1726011117 1917790130 2876685195 3452022234 5178033351 5753370390 8630055585 10356066702 15534100053 17260111170 25890166755 31068200106 51780333510 77670500265 155341000530