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136427500 = 225411341
BaseRepresentation
bin10000010000110…
…11011111101100
3100111201020100101
420020123133230
5234411140000
621312040444
73244420546
oct1010333754
9314636311
10136427500
1170012000
1239833124
1322359241
1414194696
15be9ce6a
hex821b7ec

136427500 has 120 divisors (see below), whose sum is σ = 336154896. Its totient is φ = 48400000.

The previous prime is 136427491. The next prime is 136427503. The reversal of 136427500 is 5724631.

136427500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1364275002 = 37224925512500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136427503) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3327480 + ... + 3327520.

Almost surely, 2136427500 is an apocalyptic number.

136427500 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 136427500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168077448).

136427500 is an abundant number, since it is smaller than the sum of its proper divisors (199727396).

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

136427500 is an equidigital number, since it uses as much as digits as its factorization.

136427500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 136427500 is about 11680.2183198774. The cubic root of 136427500 is about 514.7945892728.

The spelling of 136427500 in words is "one hundred thirty-six million, four hundred twenty-seven thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 121 125 164 205 220 242 250 275 410 451 484 500 550 605 625 820 902 1025 1100 1210 1250 1331 1375 1804 2050 2255 2420 2500 2662 2750 3025 4100 4510 4961 5125 5324 5500 6050 6655 6875 9020 9922 10250 11275 12100 13310 13750 15125 19844 20500 22550 24805 25625 26620 27500 30250 33275 45100 49610 51250 54571 56375 60500 66550 75625 99220 102500 109142 112750 124025 133100 151250 166375 218284 225500 248050 272855 281875 302500 332750 496100 545710 563750 620125 665500 831875 1091420 1127500 1240250 1364275 1663750 2480500 2728550 3100625 3327500 5457100 6201250 6821375 12402500 13642750 27285500 34106875 68213750 136427500