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2099601 = 3472232
BaseRepresentation
bin1000000000100110010001
310221200010000
420000212101
51014141401
6113000213
723563200
oct10004621
93850100
102099601
111204509
12853069
1358688a
143c9237
152b7186
hex200991

2099601 has 45 divisors (see below), whose sum is σ = 3814041. Its totient is φ = 1147608.

The previous prime is 2099593. The next prime is 2099611. The reversal of 2099601 is 1069902.

It is a happy number.

The square root of 2099601 is 1449.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 2099601 - 23 = 2099593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2099611) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 91276 + ... + 91298.

22099601 is an apocalyptic number.

2099601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2099601 is the 1449-th square number.

2099601 is the 725-th centered octagonal number.

It is an amenable number.

2099601 is a deficient number, since it is larger than the sum of its proper divisors (1714440).

2099601 is an equidigital number, since it uses as much as digits as its factorization.

2099601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The cubic root of 2099601 is about 128.0498056503.

The spelling of 2099601 in words is "two million, ninety-nine thousand, six hundred one".

Divisors: 1 3 7 9 21 23 27 49 63 69 81 147 161 189 207 441 483 529 567 621 1127 1323 1449 1587 1863 3381 3703 3969 4347 4761 10143 11109 13041 14283 25921 30429 33327 42849 77763 91287 99981 233289 299943 699867 2099601