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135283280 = 24511179043
BaseRepresentation
bin10000001000001…
…00001001010000
3100102120002202212
420010010021100
5234113031110
621231331252
73231613616
oct1004041120
9312502685
10135283280
116a400370
1239380b28
13220484a2
1413d776b6
15bd23e05
hex8104250

135283280 has 80 divisors (see below), whose sum is σ = 363351744. Its totient is φ = 46295040.

The previous prime is 135283273. The next prime is 135283301. The reversal of 135283280 is 82382531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 10439 + ... + 19481.

Almost surely, 2135283280 is an apocalyptic number.

135283280 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 135283280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181675872).

135283280 is an abundant number, since it is smaller than the sum of its proper divisors (228068464).

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

135283280 is a wasteful number, since it uses less digits than its factorization.

135283280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9084 (or 9078 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 135283280 is about 11631.1340805615. The cubic root of 135283280 is about 513.3513496047.

The spelling of 135283280 in words is "one hundred thirty-five million, two hundred eighty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 9043 14960 18086 36172 45215 72344 90430 99473 144688 153731 180860 198946 307462 361720 397892 497365 614924 723440 768655 795784 994730 1229848 1537310 1591568 1691041 1989460 2459696 3074620 3382082 3978920 6149240 6764164 7957840 8455205 12298480 13528328 16910410 27056656 33820820 67641640 135283280