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135393280 = 212511601
BaseRepresentation
bin10000001000111…
…11000000000000
3100102202200122221
420010133000000
5234130041110
621233540424
73232552411
oct1004370000
9312680587
10135393280
116a475a80
1239414714
1322086589
1413da5808
15bd467da
hex811f000

135393280 has 104 divisors (see below), whose sum is σ = 355030704. Its totient is φ = 49152000.

The previous prime is 135393263. The next prime is 135393289. The reversal of 135393280 is 82393531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135393289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224980 + ... + 225580.

Almost surely, 2135393280 is an apocalyptic number.

135393280 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 135393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177515352).

135393280 is an abundant number, since it is smaller than the sum of its proper divisors (219637424).

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

135393280 is an equidigital number, since it uses as much as digits as its factorization.

135393280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 135393280 is about 11635.8618073609. The cubic root of 135393280 is about 513.4904487117.

The spelling of 135393280 in words is "one hundred thirty-five million, three hundred ninety-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 601 640 704 880 1024 1202 1280 1408 1760 2048 2404 2560 2816 3005 3520 4096 4808 5120 5632 6010 6611 7040 9616 10240 11264 12020 13222 14080 19232 20480 22528 24040 26444 28160 33055 38464 45056 48080 52888 56320 66110 76928 96160 105776 112640 132220 153856 192320 211552 225280 264440 307712 384640 423104 528880 615424 769280 846208 1057760 1230848 1538560 1692416 2115520 2461696 3077120 3384832 4231040 6154240 6769664 8462080 12308480 13539328 16924160 27078656 33848320 67696640 135393280