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5400135 = 3351317181
BaseRepresentation
bin10100100110011001000111
3101011100121000
4110212121013
52340301020
6311424343
763620556
oct24463107
911140530
105400135
113059224
1219850b3
131170c60
14a07d9d
1571a090
hex526647

5400135 has 64 divisors (see below), whose sum is σ = 11007360. Its totient is φ = 2488320.

The previous prime is 5400127. The next prime is 5400137. The reversal of 5400135 is 5310045.

It is not a de Polignac number, because 5400135 - 23 = 5400127 is a prime.

It is a super-2 number, since 2×54001352 = 58322916036450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5400137) 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 63 ways as a sum of consecutive naturals, for example, 29745 + ... + 29925.

It is an arithmetic number, because the mean of its divisors is an integer number (171990).

Almost surely, 25400135 is an apocalyptic number.

5400135 is an abundant number, since it is smaller than the sum of its proper divisors (5607225).

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

5400135 is a wasteful number, since it uses less digits than its factorization.

5400135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5400135 is about 2323.8190549180. The cubic root of 5400135 is about 175.4425262895.

It can be divided in two parts, 5400 and 135, that multiplied together give a cube (729000 = 903).

The spelling of 5400135 in words is "five million, four hundred thousand, one hundred thirty-five".

Divisors: 1 3 5 9 13 15 17 27 39 45 51 65 85 117 135 153 181 195 221 255 351 459 543 585 663 765 905 1105 1629 1755 1989 2295 2353 2715 3077 3315 4887 5967 7059 8145 9231 9945 11765 15385 21177 24435 27693 29835 35295 40001 46155 63531 83079 105885 120003 138465 200005 317655 360009 415395 600015 1080027 1800045 5400135