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2102039104 = 261125212
BaseRepresentation
bin111110101001010…
…1001001001000000
312102111100122120011
41331102221021000
513301110222404
6544325554304
7103043015614
oct17522511100
95374318504
102102039104
11989601100
124a7b75994
13276653029
1415d25b344
15c481b604
hex7d4a9240

2102039104 has 63 divisors (see below), whose sum is σ = 4593727033. Its totient is φ = 953638400.

The previous prime is 2102039083. The next prime is 2102039123. The reversal of 2102039104 is 4019302012.

The square root of 2102039104 is 45848.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 602800704 + 1499238400 = 24552^2 + 38720^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 4034364 + ... + 4034884.

Almost surely, 22102039104 is an apocalyptic number.

2102039104 is the 45848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102039104

2102039104 is an abundant number, since it is smaller than the sum of its proper divisors (2491687929).

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

2102039104 is an frugal number, since it uses more digits than its factorization.

2102039104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The cubic root of 2102039104 is about 1280.9935125085.

The spelling of 2102039104 in words is "two billion, one hundred two million, thirty-nine thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 521 704 968 1042 1936 2084 3872 4168 5731 7744 8336 11462 16672 22924 33344 45848 63041 91696 126082 183392 252164 271441 366784 504328 542882 1008656 1085764 2017312 2171528 2985851 4034624 4343056 5971702 8686112 11943404 17372224 23886808 32844361 47773616 65688722 95547232 131377444 191094464 262754888 525509776 1051019552 2102039104