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135354340 = 225111736191
BaseRepresentation
bin10000001000101…
…01011111100100
3100102200201020201
420010111133210
5234122314330
621233040244
73232331032
oct1004253744
9312621221
10135354340
116a4497a0
12393b6084
1322071934
1413d95552
15bd39eca
hex81157e4

135354340 has 48 divisors (see below), whose sum is σ = 328333824. Its totient is φ = 46323200.

The previous prime is 135354311. The next prime is 135354361. The reversal of 135354340 is 43453531.

It is a junction number, because it is equal to n+sod(n) for n = 135354299 and 135354308.

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, 14356 + ... + 21835.

It is an arithmetic number, because the mean of its divisors is an integer number (6840288).

Almost surely, 2135354340 is an apocalyptic number.

135354340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135354340 is an abundant number, since it is smaller than the sum of its proper divisors (192979484).

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

135354340 is a wasteful number, since it uses less digits than its factorization.

135354340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36228 (or 36226 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 135354340 is about 11634.1884117458. The cubic root of 135354340 is about 513.4412162454.

The spelling of 135354340 in words is "one hundred thirty-five million, three hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 36191 72382 144764 180955 361910 398101 615247 723820 796202 1230494 1592404 1990505 2460988 3076235 3981010 6152470 6767717 7962020 12304940 13535434 27070868 33838585 67677170 135354340