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135709028 = 227213217241
BaseRepresentation
bin10000001011011…
…00000101100100
3100110100201210022
420011230011210
5234220142103
621244414312
73235336100
oct1005540544
9313321708
10135709028
116a671224
1239547398
1322167200
1414048900
15bdaa138
hex816c164

135709028 has 108 divisors (see below), whose sum is σ = 318062052. Its totient is φ = 50319360.

The previous prime is 135709019. The next prime is 135709061. The reversal of 135709028 is 820907531.

It can be written as a sum of positive squares in 6 ways, for example, as 1658944 + 134050084 = 1288^2 + 11578^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 562988 + ... + 563228.

It is an arithmetic number, because the mean of its divisors is an integer number (2945019).

Almost surely, 2135709028 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135709028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159031026).

135709028 is an abundant number, since it is smaller than the sum of its proper divisors (182353024).

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

135709028 is a wasteful number, since it uses less digits than its factorization.

135709028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 135709028 is about 11649.4217882262. The cubic root of 135709028 is about 513.8893058019.

The spelling of 135709028 in words is "one hundred thirty-five million, seven hundred nine thousand, twenty-eight".

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 68 91 98 119 169 182 196 221 238 241 338 364 442 476 482 637 676 833 884 964 1183 1274 1547 1666 1687 2366 2548 2873 3094 3133 3332 3374 4097 4732 5746 6188 6266 6748 8194 8281 10829 11492 11809 12532 16388 16562 20111 21658 21931 23618 28679 33124 40222 40729 43316 43862 47236 53261 57358 80444 81458 87724 106522 114716 140777 153517 162916 200753 213044 281554 285103 307034 372827 401506 563108 570206 614068 692393 745654 803012 1140412 1384786 1491308 1995721 2609789 2769572 3991442 4846751 5219578 7982884 9693502 10439156 19387004 33927257 67854514 135709028