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135354640 = 2451691933
BaseRepresentation
bin10000001000101…
…01100100010000
3100102200201122211
420010111210100
5234122322030
621233041504
73232331641
oct1004254420
9312621584
10135354640
116a449a43
12393b6294
1322071b05
1413d956c8
15bd3a12a
hex8115910

135354640 has 20 divisors (see below), whose sum is σ = 314699724. Its totient is φ = 54141824.

The previous prime is 135354623. The next prime is 135354643. The reversal of 135354640 is 46453531.

135354640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 19749136 + 115605504 = 4444^2 + 10752^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135354643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 845887 + ... + 846046.

Almost surely, 2135354640 is an apocalyptic number.

135354640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135354640 is an abundant number, since it is smaller than the sum of its proper divisors (179345084).

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

135354640 is a wasteful number, since it uses less digits than its factorization.

135354640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691946 (or 1691940 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 135354640 is about 11634.2013047738. The cubic root of 135354640 is about 513.4415955763.

The spelling of 135354640 in words is "one hundred thirty-five million, three hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1691933 3383866 6767732 8459665 13535464 16919330 27070928 33838660 67677320 135354640