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540463350 = 23527547941
BaseRepresentation
bin100000001101101…
…101000011110110
31101122222101100010
4200031231003312
52101324311400
6125344001050
716251601620
oct4015550366
91348871303
10540463350
11258094129
12131000186
1387c817cb
1451ac9c10
15326ac450
hex2036d0f6

540463350 has 96 divisors (see below), whose sum is σ = 1536258816. Its totient is φ = 123177600.

The previous prime is 540463349. The next prime is 540463397. The reversal of 540463350 is 53364045.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 573880 + ... + 574820.

It is an arithmetic number, because the mean of its divisors is an integer number (16002696).

Almost surely, 2540463350 is an apocalyptic number.

540463350 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 540463350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768129408).

540463350 is an abundant number, since it is smaller than the sum of its proper divisors (995795466).

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

540463350 is a wasteful number, since it uses less digits than its factorization.

540463350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 540463350 is about 23247.8676441518. The cubic root of 540463350 is about 814.5581305046.

The spelling of 540463350 in words is "five hundred forty million, four hundred sixty-three thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 547 941 1050 1094 1641 1882 2735 2823 3282 3829 4705 5470 5646 6587 7658 8205 9410 11487 13174 13675 14115 16410 19145 19761 22974 23525 27350 28230 32935 38290 39522 41025 47050 57435 65870 70575 82050 95725 98805 114870 141150 164675 191450 197610 287175 329350 494025 514727 574350 988050 1029454 1544181 2573635 3088362 3603089 5147270 7206178 7720905 10809267 12868175 15441810 18015445 21618534 25736350 36030890 38604525 54046335 77209050 90077225 108092670 180154450 270231675 540463350