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135203920 = 2453745677
BaseRepresentation
bin10000000111100…
…00110001010000
3100102102001220121
420003300301100
5234103011140
621225520024
73231133345
oct1003606120
9312361817
10135203920
116a356785
1239343014
132201b327
1413d567cc
15bd0a64a
hex80f0c50

135203920 has 40 divisors (see below), whose sum is σ = 322852104. Its totient is φ = 52618752.

The previous prime is 135203903. The next prime is 135203933. The reversal of 135203920 is 29302531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 67174416 + 68029504 = 8196^2 + 8248^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19879 + ... + 25798.

Almost surely, 2135203920 is an apocalyptic number.

135203920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135203920 is an abundant number, since it is smaller than the sum of its proper divisors (187648184).

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

135203920 is a wasteful number, since it uses less digits than its factorization.

135203920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45727 (or 45721 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 135203920 is about 11627.7220469015. The cubic root of 135203920 is about 513.2509490923.

It can be divided in two parts, 13520 and 3920, that multiplied together give a square (52998400 = 72802).

The spelling of 135203920 in words is "one hundred thirty-five million, two hundred three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 45677 91354 182708 228385 365416 456770 730832 913540 1690049 1827080 3380098 3654160 6760196 8450245 13520392 16900490 27040784 33800980 67601960 135203920