Search a number
-
+
71136090 = 2335487541
BaseRepresentation
bin1000011110101…
…11001101011010
311221212002101000
410033113031122
5121202323330
611020405430
71522434564
oct417271532
9157762330
1071136090
1137177663
121b9a6876
131197897c
14963a334
1563a2560
hex43d735a

71136090 has 64 divisors (see below), whose sum is σ = 190437120. Its totient is φ = 18895680.

The previous prime is 71136073. The next prime is 71136113. The reversal of 71136090 is 9063117.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131220 + ... + 131760.

It is an arithmetic number, because the mean of its divisors is an integer number (2975580).

Almost surely, 271136090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71136090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95218560).

71136090 is an abundant number, since it is smaller than the sum of its proper divisors (119301030).

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

71136090 is a wasteful number, since it uses less digits than its factorization.

71136090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 71136090 is about 8434.2213629949. The cubic root of 71136090 is about 414.3461712914.

It can be divided in two parts, 7113 and 6090, that added together give a triangular number (13203 = T162).

The spelling of 71136090 in words is "seventy-one million, one hundred thirty-six thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 487 541 974 1082 1461 1623 2435 2705 2922 3246 4383 4869 4870 5410 7305 8115 8766 9738 13149 14607 14610 16230 21915 24345 26298 29214 43830 48690 65745 73035 131490 146070 263467 526934 790401 1317335 1580802 2371203 2634670 3952005 4742406 7113609 7904010 11856015 14227218 23712030 35568045 71136090