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135368424 = 23321880117
BaseRepresentation
bin10000001000110…
…00111011101000
3100102201102120100
420010120323220
5234123242144
621233225400
73232420062
oct1004307350
9312642510
10135368424
116a459334
1239402260
1322078179
1413d9a732
15bd3e269
hex8118ee8

135368424 has 24 divisors (see below), whose sum is σ = 366623010. Its totient is φ = 45122784.

The previous prime is 135368423. The next prime is 135368461. The reversal of 135368424 is 424863531.

It can be written as a sum of positive squares in only one way, i.e., 79388100 + 55980324 = 8910^2 + 7482^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1353684242 = 36649220432487552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135368423) 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 5 ways as a sum of consecutive naturals, for example, 939987 + ... + 940130.

Almost surely, 2135368424 is an apocalyptic number.

It is an amenable number.

135368424 is an abundant number, since it is smaller than the sum of its proper divisors (231254586).

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

135368424 is a wasteful number, since it uses less digits than its factorization.

135368424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880129 (or 1880122 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 135368424 is about 11634.7936810242. The cubic root of 135368424 is about 513.4590239623.

The spelling of 135368424 in words is "one hundred thirty-five million, three hundred sixty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1880117 3760234 5640351 7520468 11280702 15040936 16921053 22561404 33842106 45122808 67684212 135368424