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540551400 = 233527112689
BaseRepresentation
bin100000001110000…
…010100011101000
31101200010212010020
4200032002203220
52101340121100
6125345520440
716252416414
oct4016024350
91350125106
10540551400
112581442a4
12131043120
1387cb28cc
1451b0dd44
15326c85a0
hex203828e8

540551400 has 96 divisors (see below), whose sum is σ = 1699444800. Its totient is φ = 142105600.

The previous prime is 540551393. The next prime is 540551413. The reversal of 540551400 is 4155045.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36256 + ... + 48944.

It is an arithmetic number, because the mean of its divisors is an integer number (17702550).

Almost surely, 2540551400 is an apocalyptic number.

540551400 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 540551400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849722400).

540551400 is an abundant number, since it is smaller than the sum of its proper divisors (1158893400).

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

540551400 is a wasteful number, since it uses less digits than its factorization.

540551400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12779 (or 12770 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 540551400 is about 23249.7612890971. The cubic root of 540551400 is about 814.6023628896.

It can be divided in two parts, 54055 and 1400, that added together give a palindrome (55455).

The spelling of 540551400 in words is "five hundred forty million, five hundred fifty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 71 75 100 120 142 150 200 213 284 300 355 426 568 600 710 852 1065 1420 1704 1775 2130 2840 3550 4260 5325 7100 8520 10650 12689 14200 21300 25378 38067 42600 50756 63445 76134 101512 126890 152268 190335 253780 304536 317225 380670 507560 634450 761340 900919 951675 1268900 1522680 1801838 1903350 2537800 2702757 3603676 3806700 4504595 5405514 7207352 7613400 9009190 10811028 13513785 18018380 21622056 22522975 27027570 36036760 45045950 54055140 67568925 90091900 108110280 135137850 180183800 270275700 540551400