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135364350 = 23521182039
BaseRepresentation
bin10000001000101…
…11111011111110
3100102201012222110
420010113323332
5234123124400
621233154450
73232402152
oct1004277376
9312635873
10135364350
116a456270
12393bba26
1322076364
1413d99062
15bd3ce50
hex8117efe

135364350 has 48 divisors (see below), whose sum is σ = 366226560. Its totient is φ = 32815200.

The previous prime is 135364343. The next prime is 135364363. The reversal of 135364350 is 53463531.

It is a happy number.

135364350 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1353643503 (a number of 25 digits) contains 333 as substring.

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

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, 39370 + ... + 42669.

It is an arithmetic number, because the mean of its divisors is an integer number (7629720).

Almost surely, 2135364350 is an apocalyptic number.

135364350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135364350 is an abundant number, since it is smaller than the sum of its proper divisors (230862210).

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

135364350 is a wasteful number, since it uses less digits than its factorization.

135364350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82065 (or 82060 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 135364350 is about 11634.6186013982. The cubic root of 135364350 is about 513.4538729505.

It can be divided in two parts, 1353 and 64350, that added together give a triangular number (65703 = T362).

The spelling of 135364350 in words is "one hundred thirty-five million, three hundred sixty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 82039 164078 246117 410195 492234 820390 902429 1230585 1804858 2050975 2461170 2707287 4101950 4512145 5414574 6152925 9024290 12305850 13536435 22560725 27072870 45121450 67682175 135364350