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135536840 = 23513724733
BaseRepresentation
bin10000001010000…
…10000011001000
3100110000222120222
420011002003020
5234144134330
621241005212
73234021065
oct1005020310
9313028528
10135536840
116a56391a
1239483808
1322106a1a
1414001c6c
15bd740e5
hex81420c8

135536840 has 32 divisors (see below), whose sum is σ = 307196280. Its totient is φ = 53816832.

The previous prime is 135536827. The next prime is 135536851. The reversal of 135536840 is 48635531.

It can be written as a sum of positive squares in 4 ways, for example, as 79316836 + 56220004 = 8906^2 + 7498^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 135536840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6887 + ... + 17846.

Almost surely, 2135536840 is an apocalyptic number.

135536840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135536840 is an abundant number, since it is smaller than the sum of its proper divisors (171659440).

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

135536840 is a wasteful number, since it uses less digits than its factorization.

135536840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24881 (or 24877 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 135536840 is about 11642.0290327760. The cubic root of 135536840 is about 513.6718724125.

The spelling of 135536840 in words is "one hundred thirty-five million, five hundred thirty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 137 274 548 685 1096 1370 2740 5480 24733 49466 98932 123665 197864 247330 494660 989320 3388421 6776842 13553684 16942105 27107368 33884210 67768420 135536840