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4102205540 = 2253748711383
BaseRepresentation
bin1111010010000010…
…1011000001100100
3101120220000122002112
43310200223001210
531400131034130
61515020300152
7203441112626
oct36440530144
911526018075
104102205540
111815651814
129659a1658
13504b58074
142acb5ac16
15190213495
hexf482b064

4102205540 has 48 divisors (see below), whose sum is σ = 8866405632. Its totient is φ = 1593115776.

The previous prime is 4102205521. The next prime is 4102205551. The reversal of 4102205540 is 455022014.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354689 + ... + 366071.

It is an arithmetic number, because the mean of its divisors is an integer number (184716784).

Almost surely, 24102205540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102205540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433202816).

4102205540 is an abundant number, since it is smaller than the sum of its proper divisors (4764200092).

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

4102205540 is a wasteful number, since it uses less digits than its factorization.

4102205540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11916 (or 11914 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 4102205540 is about 64048.4624327548. The cubic root of 4102205540 is about 1600.8076053108.

Adding to 4102205540 its reverse (455022014), we get a palindrome (4557227554).

The spelling of 4102205540 in words is "four billion, one hundred two million, two hundred five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 487 740 974 1948 2435 4870 9740 11383 18019 22766 36038 45532 56915 72076 90095 113830 180190 227660 360380 421171 842342 1684684 2105855 4211710 5543521 8423420 11087042 22174084 27717605 55435210 110870420 205110277 410220554 820441108 1025551385 2051102770 4102205540