Search a number
-
+
2050015400 = 2352173179331
BaseRepresentation
bin111101000110000…
…1100000010101000
312021212110120110022
41322030030002220
513144300443100
6535230540012
7101541562166
oct17214140250
95255416408
102050015400
119621a8a04
12492667608
13268939784
14156398236
15bee91e85
hex7a30c0a8

2050015400 has 96 divisors (see below), whose sum is σ = 4835181600. Its totient is φ = 808262400.

The previous prime is 2050015381. The next prime is 2050015417. The reversal of 2050015400 is 45100502.

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, 6193235 + ... + 6193565.

It is an arithmetic number, because the mean of its divisors is an integer number (50366475).

Almost surely, 22050015400 is an apocalyptic number.

2050015400 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 2050015400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417590800).

2050015400 is an abundant number, since it is smaller than the sum of its proper divisors (2785166200).

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

2050015400 is a wasteful number, since it uses less digits than its factorization.

2050015400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 2050015400 is about 45277.0957549179. The cubic root of 2050015400 is about 1270.3372737637.

Adding to 2050015400 its reverse (45100502), we get a palindrome (2095115902).

The spelling of 2050015400 in words is "two billion, fifty million, fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 173 179 200 331 346 358 662 692 716 865 895 1324 1384 1432 1655 1730 1790 2648 3310 3460 3580 4325 4475 6620 6920 7160 8275 8650 8950 13240 16550 17300 17900 30967 33100 34600 35800 57263 59249 61934 66200 114526 118498 123868 154835 229052 236996 247736 286315 296245 309670 458104 473992 572630 592490 619340 774175 1145260 1184980 1238680 1431575 1481225 1548350 2290520 2369960 2863150 2962450 3096700 5726300 5924900 6193400 10250077 11452600 11849800 20500154 41000308 51250385 82000616 102500770 205001540 256251925 410003080 512503850 1025007700 2050015400