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540270 = 23452329
BaseRepresentation
bin10000011111001101110
31000110010000
42003321232
5114242040
615325130
74410063
oct2037156
91013100
10540270
11339a05
122207a6
1315bbb3
14100c6a
15aa130
hex83e6e

540270 has 80 divisors (see below), whose sum is σ = 1568160. Its totient is φ = 133056.

The previous prime is 540269. The next prime is 540271. The reversal of 540270 is 72045.

540270 = T3 + T4 + ... + T147.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (540269) and next prime (540271).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540271) 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 39 ways as a sum of consecutive naturals, for example, 18616 + ... + 18644.

It is an arithmetic number, because the mean of its divisors is an integer number (19602).

2540270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784080).

540270 is an abundant number, since it is smaller than the sum of its proper divisors (1027890).

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

540270 is a wasteful number, since it uses less digits than its factorization.

540270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 540270 is about 735.0306116074. The cubic root of 540270 is about 81.4460983245.

The spelling of 540270 in words is "five hundred forty thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 29 30 45 46 54 58 69 81 87 90 115 135 138 145 162 174 207 230 261 270 290 345 405 414 435 522 621 667 690 783 810 870 1035 1242 1305 1334 1566 1863 2001 2070 2349 2610 3105 3335 3726 3915 4002 4698 6003 6210 6670 7830 9315 10005 11745 12006 18009 18630 20010 23490 30015 36018 54027 60030 90045 108054 180090 270135 540270