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540273400 = 23524121607
BaseRepresentation
bin100000001100111…
…110101011111000
31101122121201202221
4200030332223320
52101302222100
6125335533424
716250151052
oct4014765370
91348551687
10540273400
11257a74447
12130b2a274
1387c16204
1451a7a8d2
153267101a
hex2033eaf8

540273400 has 72 divisors (see below), whose sum is σ = 1288321560. Its totient is φ = 210707200.

The previous prime is 540273389. The next prime is 540273421. The reversal of 540273400 is 4372045.

540273400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 335397 + ... + 337003.

It is an arithmetic number, because the mean of its divisors is an integer number (17893355).

Almost surely, 2540273400 is an apocalyptic number.

540273400 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 540273400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644160780).

540273400 is an abundant number, since it is smaller than the sum of its proper divisors (748048160).

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

540273400 is a wasteful number, since it uses less digits than its factorization.

540273400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 540273400 is about 23243.7819642157. The cubic root of 540273400 is about 814.4626917502.

The spelling of 540273400 in words is "five hundred forty million, two hundred seventy-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1607 1640 1681 2050 3214 3362 4100 6428 6724 8035 8200 8405 12856 13448 16070 16810 32140 33620 40175 42025 64280 65887 67240 80350 84050 131774 160700 168100 263548 321400 329435 336200 527096 658870 1317740 1647175 2635480 2701367 3294350 5402734 6588700 10805468 13177400 13506835 21610936 27013670 54027340 67534175 108054680 135068350 270136700 540273400