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135002280 = 23357173929
BaseRepresentation
bin10000000101111…
…11100010101000
3100102000211022110
420002333202220
5234030033110
621221322320
73226333440
oct1002774250
9312024273
10135002280
116a229236
12392663a0
1321c7a60a
1413d03120
15bcbaa20
hex80bf8a8

135002280 has 128 divisors (see below), whose sum is σ = 466041600. Its totient is φ = 30646272.

The previous prime is 135002269. The next prime is 135002281. The reversal of 135002280 is 82200531.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (135002281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144856 + ... + 145784.

It is an arithmetic number, because the mean of its divisors is an integer number (3640950).

Almost surely, 2135002280 is an apocalyptic number.

135002280 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 135002280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233020800).

135002280 is an abundant number, since it is smaller than the sum of its proper divisors (331039320).

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

135002280 is a wasteful number, since it uses less digits than its factorization.

135002280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 135002280 is about 11619.0481537861. The cubic root of 135002280 is about 512.9956719461.

The spelling of 135002280 in words is "one hundred thirty-five million, two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 173 210 280 346 420 519 692 840 865 929 1038 1211 1384 1730 1858 2076 2422 2595 2787 3460 3633 3716 4152 4645 4844 5190 5574 6055 6503 6920 7266 7432 9290 9688 10380 11148 12110 13006 13935 14532 18165 18580 19509 20760 22296 24220 26012 27870 29064 32515 36330 37160 39018 48440 52024 55740 65030 72660 78036 97545 111480 130060 145320 156072 160717 195090 260120 321434 390180 482151 642868 780360 803585 964302 1125019 1285736 1607170 1928604 2250038 2410755 3214340 3375057 3857208 4500076 4821510 5625095 6428680 6750114 9000152 9643020 11250190 13500228 16875285 19286040 22500380 27000456 33750570 45000760 67501140 135002280