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2099440 = 245723163
BaseRepresentation
bin1000000000100011110000
310221122220001
420000203300
51014140230
6112555344
723562550
oct10004360
93848801
102099440
111204382
12852b54
13586795
143c9160
152b70ca
hex2008f0

2099440 has 80 divisors (see below), whose sum is σ = 5856768. Its totient is φ = 684288.

The previous prime is 2099431. The next prime is 2099441. The reversal of 2099440 is 449902.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2099399 and 2099408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2099441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12799 + ... + 12961.

22099440 is an apocalyptic number.

2099440 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 2099440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928384).

2099440 is an abundant number, since it is smaller than the sum of its proper divisors (3757328).

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

2099440 is a wasteful number, since it uses less digits than its factorization.

2099440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 2099440 is about 1448.9444433794. The cubic root of 2099440 is about 128.0465325609.

The spelling of 2099440 in words is "two million, ninety-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 163 184 230 280 322 326 368 460 560 644 652 805 815 920 1141 1288 1304 1610 1630 1840 2282 2576 2608 3220 3260 3749 4564 5705 6440 6520 7498 9128 11410 12880 13040 14996 18256 18745 22820 26243 29992 37490 45640 52486 59984 74980 91280 104972 131215 149960 209944 262430 299920 419888 524860 1049720 2099440