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135406953 = 32114729101
BaseRepresentation
bin10000001001000…
…10010101101001
3100102210101102100
420010202111221
5234131010303
621234124013
73232640313
oct1004422551
9312711370
10135406953
116a485280
1239420609
132208c876
1413daa7b3
15bd4a8a3
hex8122569

135406953 has 24 divisors (see below), whose sum is σ = 217915776. Its totient is φ = 80316000.

The previous prime is 135406951. The next prime is 135406987. The reversal of 135406953 is 359604531.

135406953 is a `hidden beast` number, since 1 + 3 + 540 + 69 + 53 = 666.

It is not a de Polignac number, because 135406953 - 21 = 135406951 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135406951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9898 + ... + 19203.

It is an arithmetic number, because the mean of its divisors is an integer number (9079824).

Almost surely, 2135406953 is an apocalyptic number.

It is an amenable number.

135406953 is a deficient number, since it is larger than the sum of its proper divisors (82508823).

135406953 is a wasteful number, since it uses less digits than its factorization.

135406953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29165 (or 29162 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 135406953 is about 11636.4493295850. The cubic root of 135406953 is about 513.5077334656.

The spelling of 135406953 in words is "one hundred thirty-five million, four hundred six thousand, nine hundred fifty-three".

Divisors: 1 3 9 11 33 47 99 141 423 517 1551 4653 29101 87303 261909 320111 960333 1367747 2880999 4103241 12309723 15045217 45135651 135406953