Search a number
-
+
36139240 = 235472409
BaseRepresentation
bin1000100111011…
…1000011101000
32112000001201101
42021313003220
533222423430
63330331144
7616115134
oct211670350
975001641
1036139240
1119443a45
1210129ab4
137644487
144b2a3c4
15328cdca
hex22770e8

36139240 has 48 divisors (see below), whose sum is σ = 83283300. Its totient is φ = 14113536.

The previous prime is 36139237. The next prime is 36139253. The reversal of 36139240 is 4293163.

It can be written as a sum of positive squares in 2 ways, for example, as 35070084 + 1069156 = 5922^2 + 1034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36139199 and 36139208.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88156 + ... + 88564.

Almost surely, 236139240 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 36139240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41641650).

36139240 is an abundant number, since it is smaller than the sum of its proper divisors (47144060).

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

36139240 is a wasteful number, since it uses less digits than its factorization.

36139240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 36139240 is about 6011.5921352001. The cubic root of 36139240 is about 330.6178812508.

It can be divided in two parts, 361 and 39240, that added together give a square (39601 = 1992).

The spelling of 36139240 in words is "thirty-six million, one hundred thirty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 409 470 818 940 1636 1880 2045 2209 3272 4090 4418 8180 8836 11045 16360 17672 19223 22090 38446 44180 76892 88360 96115 153784 192230 384460 768920 903481 1806962 3613924 4517405 7227848 9034810 18069620 36139240