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135841440 = 2535740429
BaseRepresentation
bin10000001100011…
…00011010100000
3100110121110102110
420012030122200
5234233411230
621251315320
73236430120
oct1006143240
9313543373
10135841440
116a751759
12395abb40
13221b2567
1414080c80
15bdd44b0
hex818c6a0

135841440 has 96 divisors (see below), whose sum is σ = 489041280. Its totient is φ = 31048704.

The previous prime is 135841439. The next prime is 135841463. The reversal of 135841440 is 44148531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 135841398 and 135841407.

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, 16855 + ... + 23574.

It is an arithmetic number, because the mean of its divisors is an integer number (5094180).

Almost surely, 2135841440 is an apocalyptic number.

135841440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135841440 is an abundant number, since it is smaller than the sum of its proper divisors (353199840).

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

135841440 is a wasteful number, since it uses less digits than its factorization.

135841440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40454 (or 40446 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 135841440 is about 11655.1036031431. The cubic root of 135841440 is about 514.0563862904.

Adding to 135841440 its reverse (44148531), we get a palindrome (179989971).

The spelling of 135841440 in words is "one hundred thirty-five million, eight hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 40429 80858 121287 161716 202145 242574 283003 323432 404290 485148 566006 606435 646864 808580 849009 970296 1132012 1212870 1293728 1415015 1617160 1698018 1940592 2264024 2425740 2830030 3234320 3396036 3881184 4245045 4528048 4851480 5660060 6468640 6792072 8490090 9056096 9702960 11320120 13584144 16980180 19405920 22640240 27168288 33960360 45280480 67920720 135841440