Search a number
-
+
2020191400 = 2352711131259
BaseRepresentation
bin111100001101001…
…1010110010101000
312012210100100121201
41320122122302220
513114132111100
6532243413544
7101030225563
oct17032326250
95183310551
102020191400
11947388777
124846842b4
132626c6936
141524334da
15bc55036a
hex7869aca8

2020191400 has 96 divisors (see below), whose sum is σ = 4809067200. Its totient is φ = 789017600.

The previous prime is 2020191391. The next prime is 2020191443. The reversal of 2020191400 is 41910202.

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, 1603971 + ... + 1605229.

It is an arithmetic number, because the mean of its divisors is an integer number (50094450).

Almost surely, 22020191400 is an apocalyptic number.

2020191400 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 2020191400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404533600).

2020191400 is an abundant number, since it is smaller than the sum of its proper divisors (2788875800).

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

2020191400 is a wasteful number, since it uses less digits than its factorization.

2020191400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 2020191400 is about 44946.5393551050. The cubic root of 2020191400 is about 1264.1467893538.

The spelling of 2020191400 in words is "two billion, twenty million, one hundred ninety-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 113 142 200 226 284 355 452 565 568 710 904 1130 1259 1420 1775 2260 2518 2825 2840 3550 4520 5036 5650 6295 7100 8023 10072 11300 12590 14200 16046 22600 25180 31475 32092 40115 50360 62950 64184 80230 89389 125900 142267 160460 178778 200575 251800 284534 320920 357556 401150 446945 569068 711335 715112 802300 893890 1138136 1422670 1604600 1787780 2234725 2845340 3556675 3575560 4469450 5690680 7113350 8938900 10100957 14226700 17877800 20201914 28453400 40403828 50504785 80807656 101009570 202019140 252523925 404038280 505047850 1010095700 2020191400