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540804450 = 235216721589
BaseRepresentation
bin100000001111000…
…000010101100010
31101200121201020110
4200033000111202
52101421220300
6125355152150
716254522234
oct4017002542
91350551213
10540804450
112582a742a
12131145656
1388070b44
1451b78254
1532728550
hex203c0562

540804450 has 48 divisors (see below), whose sum is σ = 1349288640. Its totient is φ = 143344320.

The previous prime is 540804437. The next prime is 540804463. The reversal of 540804450 is 54408045.

It is an interprime number because it is at equal distance from previous prime (540804437) and next prime (540804463).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 14256 + ... + 35844.

It is an arithmetic number, because the mean of its divisors is an integer number (28110180).

Almost surely, 2540804450 is an apocalyptic number.

540804450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 540804450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674644320).

540804450 is an abundant number, since it is smaller than the sum of its proper divisors (808484190).

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

540804450 is a wasteful number, since it uses less digits than its factorization.

540804450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21771 (or 21766 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 540804450 is about 23255.2026437096. The cubic root of 540804450 is about 814.7294571678.

The spelling of 540804450 in words is "five hundred forty million, eight hundred four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 167 334 501 835 1002 1670 2505 4175 5010 8350 12525 21589 25050 43178 64767 107945 129534 215890 323835 539725 647670 1079450 1619175 3238350 3605363 7210726 10816089 18026815 21632178 36053630 54080445 90134075 108160890 180268150 270402225 540804450