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2052011400 = 2335219180001
BaseRepresentation
bin111101001001111…
…0011010110001000
312022000012222110020
41322103303112020
513200303331100
6535341420440
7101564544345
oct17223632610
95260188406
102052011400
1196334159a
1249326a720
1326918813a
141567577cc
15c02385a0
hex7a4f3588

2052011400 has 96 divisors (see below), whose sum is σ = 6696074400. Its totient is φ = 518400000.

The previous prime is 2052011393. The next prime is 2052011473. The reversal of 2052011400 is 41102502.

2052011400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2052011400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78601 + ... + 101400.

It is an arithmetic number, because the mean of its divisors is an integer number (69750775).

Almost surely, 22052011400 is an apocalyptic number.

2052011400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2052011400 is an abundant number, since it is smaller than the sum of its proper divisors (4644063000).

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

2052011400 is a wasteful number, since it uses less digits than its factorization.

2052011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180039 (or 180030 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2052011400 is about 45299.1324420237. The cubic root of 2052011400 is about 1270.7494285074.

Adding to 2052011400 its reverse (41102502), we get a palindrome (2093113902).

The spelling of 2052011400 in words is "two billion, fifty-two million, eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 180001 360002 540003 720004 900005 1080006 1440008 1800010 2160012 2700015 3420019 3600020 4320024 4500025 5400030 6840038 7200040 9000050 10260057 10800060 13500075 13680076 17100095 18000100 20520114 21600120 27000150 27360152 34200190 36000200 41040228 51300285 54000300 68400380 82080456 85500475 102600570 108000600 136800760 171000950 205201140 256501425 342001900 410402280 513002850 684003800 1026005700 2052011400