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135241620 = 223519118633
BaseRepresentation
bin10000000111110…
…01111110010100
3100102110222121220
420003321332110
5234110212440
621230410340
73231351303
oct1003717624
9312428556
10135241620
116a382038
12393609b0
1322032537
1413d6643a
15bd168d0
hex80f9f94

135241620 has 48 divisors (see below), whose sum is σ = 398610240. Its totient is φ = 34166016.

The previous prime is 135241609. The next prime is 135241643. The reversal of 135241620 is 26142531.

135241620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 58177 + ... + 60456.

It is an arithmetic number, because the mean of its divisors is an integer number (8304380).

Almost surely, 2135241620 is an apocalyptic number.

135241620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135241620 is an abundant number, since it is smaller than the sum of its proper divisors (263368620).

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

135241620 is a wasteful number, since it uses less digits than its factorization.

135241620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118664 (or 118662 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 135241620 is about 11629.3430596917. The cubic root of 135241620 is about 513.2986492935.

The spelling of 135241620 in words is "one hundred thirty-five million, two hundred forty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 118633 237266 355899 474532 593165 711798 1186330 1423596 1779495 2254027 2372660 3558990 4508054 6762081 7117980 9016108 11270135 13524162 22540270 27048324 33810405 45080540 67620810 135241620