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135430000 = 245429467
BaseRepresentation
bin10000001001001…
…11111101110000
3100102211120000221
420010213331300
5234132230000
621234422424
73233064436
oct1004477560
9312746027
10135430000
116a4a0622
1239431a14
132209a1c4
1413db4d56
15bd5261a
hex8127f70

135430000 has 100 divisors (see below), whose sum is σ = 339922440. Its totient is φ = 52192000.

The previous prime is 135429997. The next prime is 135430037. The reversal of 135430000 is 34531.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 289767 + ... + 290233.

Almost surely, 2135430000 is an apocalyptic number.

135430000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169961220).

135430000 is an abundant number, since it is smaller than the sum of its proper divisors (204492440).

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

135430000 is an equidigital number, since it uses as much as digits as its factorization.

135430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 135430000 is about 11637.4395809388. The cubic root of 135430000 is about 513.5368657494.

Adding to 135430000 its reverse (34531), we get a palindrome (135464531).

The spelling of 135430000 in words is "one hundred thirty-five million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 467 500 580 625 725 934 1000 1160 1250 1450 1868 2000 2320 2335 2500 2900 3625 3736 4670 5000 5800 7250 7472 9340 10000 11600 11675 13543 14500 18125 18680 23350 27086 29000 36250 37360 46700 54172 58000 58375 67715 72500 93400 108344 116750 135430 145000 186800 216688 233500 270860 290000 291875 338575 467000 541720 583750 677150 934000 1083440 1167500 1354300 1692875 2335000 2708600 3385750 4670000 5417200 6771500 8464375 13543000 16928750 27086000 33857500 67715000 135430000