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136257240 = 23357223173
BaseRepresentation
bin10000001111100…
…01111011011000
3100111101120210110
420013301323120
5234340212430
621304244320
73243111300
oct1007617330
9314346713
10136257240
116aa06099
12397706a0
13222c98b2
141414c600
15be677b0
hex81f1ed8

136257240 has 96 divisors (see below), whose sum is σ = 475530480. Its totient is φ = 31143168.

The previous prime is 136257197. The next prime is 136257263. The reversal of 136257240 is 42752631.

136257240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 136257198 and 136257207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5707 + ... + 17466.

Almost surely, 2136257240 is an apocalyptic number.

136257240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136257240 is an abundant number, since it is smaller than the sum of its proper divisors (339273240).

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

136257240 is a wasteful number, since it uses less digits than its factorization.

136257240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23201 (or 23190 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 136257240 is about 11672.9276533353. The cubic root of 136257240 is about 514.5803474870.

The spelling of 136257240 in words is "one hundred thirty-six million, two hundred fifty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 23173 46346 69519 92692 115865 139038 162211 185384 231730 278076 324422 347595 463460 486633 556152 648844 695190 811055 926920 973266 1135477 1297688 1390380 1622110 1946532 2270954 2433165 2780760 3244220 3406431 3893064 4541908 4866330 5677385 6488440 6812862 9083816 9732660 11354770 13625724 17032155 19465320 22709540 27251448 34064310 45419080 68128620 136257240