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540154300 = 225271973917
BaseRepresentation
bin100000001100100…
…001100110111100
31101122101200101211
4200030201212330
52101234414200
6125333214204
716246143610
oct4014414674
91348350354
10540154300
112579a2a14
12130a91364
1387ba3c3a
1451a49340
153264aaba
hex203219bc

540154300 has 72 divisors (see below), whose sum is σ = 1346726304. Its totient is φ = 184208640.

The previous prime is 540154291. The next prime is 540154309. The reversal of 540154300 is 3451045.

It is an interprime number because it is at equal distance from previous prime (540154291) and next prime (540154309).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540154309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135942 + ... + 139858.

It is an arithmetic number, because the mean of its divisors is an integer number (18704532).

Almost surely, 2540154300 is an apocalyptic number.

540154300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540154300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673363152).

540154300 is an abundant number, since it is smaller than the sum of its proper divisors (806572004).

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

540154300 is a wasteful number, since it uses less digits than its factorization.

540154300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 540154300 is about 23241.2198475037. The cubic root of 540154300 is about 814.4028395622.

The spelling of 540154300 in words is "five hundred forty million, one hundred fifty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 197 350 394 700 788 985 1379 1970 2758 3917 3940 4925 5516 6895 7834 9850 13790 15668 19585 19700 27419 27580 34475 39170 54838 68950 78340 97925 109676 137095 137900 195850 274190 391700 548380 685475 771649 1370950 1543298 2741900 3086596 3858245 5401543 7716490 10803086 15432980 19291225 21606172 27007715 38582450 54015430 77164900 108030860 135038575 270077150 540154300