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135262440 = 23335125243
BaseRepresentation
bin10000000111111…
…11000011101000
3100102112001012000
420003333003220
5234111344230
621231051000
73231466065
oct1003770350
9312461160
10135262440
116a396745
1239370a60
132203bb61
1413d6dc6c
15bd1cb60
hex80ff0e8

135262440 has 64 divisors (see below), whose sum is σ = 450878400. Its totient is φ = 36069696.

The previous prime is 135262411. The next prime is 135262459. The reversal of 135262440 is 44262531.

135262440 is a `hidden beast` number, since 1 + 35 + 2 + 624 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61542 + ... + 63701.

It is an arithmetic number, because the mean of its divisors is an integer number (7044975).

Almost surely, 2135262440 is an apocalyptic number.

135262440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135262440 is an abundant number, since it is smaller than the sum of its proper divisors (315615960).

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

135262440 is a wasteful number, since it uses less digits than its factorization.

135262440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125263 (or 125253 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 135262440 is about 11630.2381746893. The cubic root of 135262440 is about 513.3249881517.

Subtracting from 135262440 its reverse (44262531), we obtain a palindrome (90999909).

The spelling of 135262440 in words is "one hundred thirty-five million, two hundred sixty-two thousand, four hundred 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 125243 250486 375729 500972 626215 751458 1001944 1127187 1252430 1502916 1878645 2254374 2504860 3005832 3381561 3757290 4508748 5009720 5635935 6763122 7514580 9017496 11271870 13526244 15029160 16907805 22543740 27052488 33815610 45087480 67631220 135262440