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536055135 = 3571117231187
BaseRepresentation
bin11111111100111…
…000110101011111
31101100200102101220
4133330320311133
52044212231020
6125105304423
716166251650
oct3774706537
91340612356
10536055135
11255653180
1212b635113
138709a1b5
145129d527
15320db240
hex1ff38d5f

536055135 has 128 divisors (see below), whose sum is σ = 1182449664. Its totient is φ = 200386560.

The previous prime is 536055119. The next prime is 536055199. The reversal of 536055135 is 531550635.

536055135 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 536055135 - 24 = 536055119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 536055096 and 536055105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 451012 + ... + 452198.

It is an arithmetic number, because the mean of its divisors is an integer number (9237888).

Almost surely, 2536055135 is an apocalyptic number.

536055135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

536055135 is an abundant number, since it is smaller than the sum of its proper divisors (646394529).

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

536055135 is a wasteful number, since it uses less digits than its factorization.

536055135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253.

The product of its (nonzero) digits is 33750, while the sum is 33.

The square root of 536055135 is about 23152.8645096023. The cubic root of 536055135 is about 812.3374715539.

The spelling of 536055135 in words is "five hundred thirty-six million, fifty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 7 11 15 17 21 23 33 35 51 55 69 77 85 105 115 119 161 165 187 231 253 255 345 357 385 391 483 561 595 759 805 935 1155 1173 1187 1265 1309 1771 1785 1955 2415 2737 2805 3561 3795 3927 4301 5313 5865 5935 6545 8211 8309 8855 12903 13057 13685 17805 19635 20179 21505 24927 26565 27301 30107 39171 41055 41545 60537 64515 65285 81903 90321 91399 100895 124635 136505 141253 150535 191107 195855 221969 274197 300311 302685 409515 423759 451605 456995 464117 573321 665907 706265 900933 955535 1109845 1370985 1392351 1501555 1553783 2102177 2118795 2320585 2866605 3248819 3329535 4504665 4661349 5105287 6306531 6961755 7768915 9746457 10510885 15315861 16244095 23306745 25526435 31532655 35737009 48732285 76579305 107211027 178685045 536055135