Search a number
-
+
2099880 = 2332519307
BaseRepresentation
bin1000000000101010101000
310221200111100
420000222220
51014144010
6113001400
723564046
oct10005250
93850440
102099880
111204742
12853260
13586a43
143c9396
152b72c0
hex200aa8

2099880 has 96 divisors (see below), whose sum is σ = 7207200. Its totient is φ = 528768.

The previous prime is 2099863. The next prime is 2099887. The reversal of 2099880 is 889902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2099887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6687 + ... + 6993.

It is an arithmetic number, because the mean of its divisors is an integer number (75075).

22099880 is an apocalyptic number.

2099880 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 2099880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603600).

2099880 is an abundant number, since it is smaller than the sum of its proper divisors (5107320).

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

2099880 is a wasteful number, since it uses less digits than its factorization.

2099880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2099880 is about 1449.0962700939. The cubic root of 2099880 is about 128.0554772539.

The spelling of 2099880 in words is "two million, ninety-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 307 342 360 380 456 570 614 684 760 855 921 1140 1228 1368 1535 1710 1842 2280 2456 2763 3070 3420 3684 4605 5526 5833 6140 6840 7368 9210 11052 11666 12280 13815 17499 18420 22104 23332 27630 29165 34998 36840 46664 52497 55260 58330 69996 87495 104994 110520 116660 139992 174990 209988 233320 262485 349980 419976 524970 699960 1049940 2099880