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2104202320 = 245116139199
BaseRepresentation
bin111110101101011…
…1001010001010000
312102122102112221021
41331122321101100
513302133433240
6544444205224
7103100265433
oct17532712120
95378375837
102104202320
1198a849390
124a8839814
13276c2c83c
1415d66181a
15c4ae754a
hex7d6b9450

2104202320 has 80 divisors (see below), whose sum is σ = 5424652800. Its totient is φ = 752601600.

The previous prime is 2104202299. The next prime is 2104202323. The reversal of 2104202320 is 232024012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2104202294 and 2104202303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104202323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34081 + ... + 73279.

It is an arithmetic number, because the mean of its divisors is an integer number (67808160).

Almost surely, 22104202320 is an apocalyptic number.

2104202320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712326400).

2104202320 is an abundant number, since it is smaller than the sum of its proper divisors (3320450480).

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

2104202320 is a wasteful number, since it uses less digits than its factorization.

2104202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39284 (or 39278 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2104202320 is about 45871.5851045067. The cubic root of 2104202320 is about 1281.4327868665.

Adding to 2104202320 its reverse (232024012), we get a palindrome (2336226332).

The spelling of 2104202320 in words is "two billion, one hundred four million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 61 80 88 110 122 176 220 244 305 440 488 610 671 880 976 1220 1342 2440 2684 3355 4880 5368 6710 10736 13420 26840 39199 53680 78398 156796 195995 313592 391990 431189 627184 783980 862378 1567960 1724756 2155945 2391139 3135920 3449512 4311890 4782278 6899024 8623780 9564556 11955695 17247560 19129112 23911390 26302529 34495120 38258224 47822780 52605058 95645560 105210116 131512645 191291120 210420232 263025290 420840464 526050580 1052101160 2104202320