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135878040 = 23335125813
BaseRepresentation
bin10000001100101…
…01010110011000
3100110200022122000
420012111112120
5234241044130
621252201000
73236641614
oct1006252630
9313608560
10135878040
116a777201
1239609160
13221c610c
1414090344
15bde0260
hex8195598

135878040 has 64 divisors (see below), whose sum is σ = 452930400. Its totient is φ = 36233856.

The previous prime is 135878033. The next prime is 135878051. The reversal of 135878040 is 40878531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135877986 and 135878004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61827 + ... + 63986.

Almost surely, 2135878040 is an apocalyptic number.

135878040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135878040 is an abundant number, since it is smaller than the sum of its proper divisors (317052360).

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

135878040 is a wasteful number, since it uses less digits than its factorization.

135878040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125833 (or 125823 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 135878040 is about 11656.6736250098. The cubic root of 135878040 is about 514.1025498525.

The spelling of 135878040 in words is "one hundred thirty-five million, eight hundred seventy-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 125813 251626 377439 503252 629065 754878 1006504 1132317 1258130 1509756 1887195 2264634 2516260 3019512 3396951 3774390 4529268 5032520 5661585 6793902 7548780 9058536 11323170 13587804 15097560 16984755 22646340 27175608 33969510 45292680 67939020 135878040