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135520440 = 233511102667
BaseRepresentation
bin10000001001111…
…10000010111000
3100110000011002120
420010332002320
5234143123230
621240401240
73233622216
oct1004760270
9313004076
10135520440
116a552570
1239476220
13220cc413
1413dd9cb6
15bd6e310
hex813e0b8

135520440 has 64 divisors (see below), whose sum is σ = 443525760. Its totient is φ = 32853120.

The previous prime is 135520433. The next prime is 135520453. The reversal of 135520440 is 44025531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 135520440.

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, 50014 + ... + 52653.

It is an arithmetic number, because the mean of its divisors is an integer number (6930090).

Almost surely, 2135520440 is an apocalyptic number.

135520440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135520440 is an abundant number, since it is smaller than the sum of its proper divisors (308005320).

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

135520440 is a wasteful number, since it uses less digits than its factorization.

135520440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102692 (or 102688 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 135520440 is about 11641.3246668925. The cubic root of 135520440 is about 513.6511534245.

Adding to 135520440 its reverse (44025531), we get a palindrome (179545971).

The spelling of 135520440 in words is "one hundred thirty-five million, five hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 102667 205334 308001 410668 513335 616002 821336 1026670 1129337 1232004 1540005 2053340 2258674 2464008 3080010 3388011 4106680 4517348 5646685 6160020 6776022 9034696 11293370 12320040 13552044 16940055 22586740 27104088 33880110 45173480 67760220 135520440