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2064645200 = 245241671879
BaseRepresentation
bin111101100001111…
…1111110001010000
312022212222211202202
41323003333301100
513212022121300
6540512302332
7102110123522
oct17303776120
95285884682
102064645200
1196a490552
124975419a8
1326b98c767
141582c5a12
15c13d1ad5
hex7b0ffc50

2064645200 has 120 divisors (see below), whose sum is σ = 5159878080. Its totient is φ = 793267200.

The previous prime is 2064645199. The next prime is 2064645217. The reversal of 2064645200 is 25464602.

It is a congruent number.

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, 1097861 + ... + 1099739.

It is an arithmetic number, because the mean of its divisors is an integer number (42998984).

Almost surely, 22064645200 is an apocalyptic number.

2064645200 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 2064645200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579939040).

2064645200 is an abundant number, since it is smaller than the sum of its proper divisors (3095232880).

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

2064645200 is a wasteful number, since it uses less digits than its factorization.

2064645200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2064645200 is about 45438.3670481235. The cubic root of 2064645200 is about 1273.3520064024.

The spelling of 2064645200 in words is "two billion, sixty-four million, six hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 67 80 82 100 134 164 200 205 268 328 335 400 410 536 656 670 820 1025 1072 1340 1640 1675 1879 2050 2680 2747 3280 3350 3758 4100 5360 5494 6700 7516 8200 9395 10988 13400 13735 15032 16400 18790 21976 26800 27470 30064 37580 43952 46975 54940 68675 75160 77039 93950 109880 125893 137350 150320 154078 187900 219760 251786 274700 308156 375800 385195 503572 549400 616312 629465 751600 770390 1007144 1098800 1232624 1258930 1540780 1925975 2014288 2517860 3081560 3147325 3851950 5035720 5161613 6163120 6294650 7703900 10071440 10323226 12589300 15407800 20646452 25178600 25808065 30815600 41292904 50357200 51616130 82585808 103232260 129040325 206464520 258080650 412929040 516161300 1032322600 2064645200