Search a number
-
+
135571940 = 22571756963
BaseRepresentation
bin10000001010010…
…10100111100100
3100110002202201222
420011022213210
5234201300230
621241435512
73234225320
oct1005124744
9313082658
10135571940
116a588229
123949bb98
13221199aa
1414010980
15bd7e6e5
hex814a9e4

135571940 has 48 divisors (see below), whose sum is σ = 344518272. Its totient is φ = 43746816.

The previous prime is 135571939. The next prime is 135571949. The reversal of 135571940 is 49175531.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 135571940.

It is not an unprimeable number, because it can be changed into a prime (135571949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26102 + ... + 30861.

It is an arithmetic number, because the mean of its divisors is an integer number (7177464).

Almost surely, 2135571940 is an apocalyptic number.

135571940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135571940 is an abundant number, since it is smaller than the sum of its proper divisors (208946332).

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

135571940 is a wasteful number, since it uses less digits than its factorization.

135571940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56996 (or 56994 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 135571940 is about 11643.5364043747. The cubic root of 135571940 is about 513.7162104846.

The spelling of 135571940 in words is "one hundred thirty-five million, five hundred seventy-one thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 56963 113926 227852 284815 398741 569630 797482 968371 1139260 1594964 1936742 1993705 3873484 3987410 4841855 6778597 7974820 9683710 13557194 19367420 27114388 33892985 67785970 135571940