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540532100 = 225212314391
BaseRepresentation
bin100000001101111…
…101110110000100
31101200002212122102
4200031331312010
52101334011400
6125345251232
716252306223
oct4015756604
91350085572
10540532100
11258130849
12131033b18
1387ca6ba4
1451b06cba
15326c29d5
hex2037dd84

540532100 has 36 divisors (see below), whose sum is σ = 1174174848. Its totient is φ = 215988000.

The previous prime is 540532093. The next prime is 540532123. The reversal of 540532100 is 1235045.

It is a super-2 number, since 2×5405321002 = 584349902260820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120905 + ... + 125295.

It is an arithmetic number, because the mean of its divisors is an integer number (32615968).

Almost surely, 2540532100 is an apocalyptic number.

540532100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540532100 is an abundant number, since it is smaller than the sum of its proper divisors (633642748).

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

540532100 is a wasteful number, since it uses less digits than its factorization.

540532100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5636 (or 5629 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 540532100 is about 23249.3462273673. The cubic root of 540532100 is about 814.5926678432.

Adding to 540532100 its reverse (1235045), we get a palindrome (541767145).

The spelling of 540532100 in words is "five hundred forty million, five hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1231 2462 4391 4924 6155 8782 12310 17564 21955 24620 30775 43910 61550 87820 109775 123100 219550 439100 5405321 10810642 21621284 27026605 54053210 108106420 135133025 270266050 540532100