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135936420 = 223517133271
BaseRepresentation
bin10000001101000…
…11100110100100
3100110210021201020
420012203212210
5234244431140
621253331140
73240304044
oct1006434644
9313707636
10135936420
116a807054
1239636ab0
1322216869
14140a7724
15be026d0
hex81a39a4

135936420 has 48 divisors (see below), whose sum is σ = 403014528. Its totient is φ = 34117120.

The previous prime is 135936389. The next prime is 135936421. The reversal of 135936420 is 24639531.

It is not an unprimeable number, because it can be changed into a prime (135936421) 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, 65616 + ... + 67655.

It is an arithmetic number, because the mean of its divisors is an integer number (8396136).

Almost surely, 2135936420 is an apocalyptic number.

135936420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135936420 is an abundant number, since it is smaller than the sum of its proper divisors (267078108).

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

135936420 is a wasteful number, since it uses less digits than its factorization.

135936420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133300 (or 133298 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 135936420 is about 11659.1775010075. The cubic root of 135936420 is about 514.1761673639.

The spelling of 135936420 in words is "one hundred thirty-five million, nine hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 133271 266542 399813 533084 666355 799626 1332710 1599252 1999065 2265607 2665420 3998130 4531214 6796821 7996260 9062428 11328035 13593642 22656070 27187284 33984105 45312140 67968210 135936420