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135622368 = 2532767273
BaseRepresentation
bin10000001010101…
…10111011100000
3100110012022220200
420011112323200
5234204403433
621242505200
73234525330
oct1005267340
9313168820
10135622368
116a612102
1239505200
132213692b
14140250c0
15bd8e613
hex8156ee0

135622368 has 72 divisors (see below), whose sum is σ = 440779248. Its totient is φ = 38748672.

The previous prime is 135622367. The next prime is 135622369. The reversal of 135622368 is 863226531.

It is a happy number.

135622368 is a `hidden beast` number, since 13 + 562 + 23 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (135622367) and next prime (135622369).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135622363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31621 + ... + 35652.

It is an arithmetic number, because the mean of its divisors is an integer number (6121934).

Almost surely, 2135622368 is an apocalyptic number.

135622368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135622368 is an abundant number, since it is smaller than the sum of its proper divisors (305156880).

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

135622368 is a wasteful number, since it uses less digits than its factorization.

135622368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67296 (or 67285 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 135622368 is about 11645.7016963341. The cubic root of 135622368 is about 513.7798973845.

Adding to 135622368 its reverse (863226531), we get a palindrome (998848899).

The spelling of 135622368 in words is "one hundred thirty-five million, six hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 67273 134546 201819 269092 403638 470911 538184 605457 807276 941822 1076368 1210914 1412733 1614552 1883644 2152736 2421828 2825466 3229104 3767288 4238199 4843656 5650932 6458208 7534576 8476398 9687312 11301864 15069152 16952796 19374624 22603728 33905592 45207456 67811184 135622368