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2099010 = 235313761
BaseRepresentation
bin1000000000011101000010
310221122022010
420000131002
51014132020
6112553350
723561364
oct10003502
93848263
102099010
111204021
12852856
13586524
143c8d34
152b6de0
hex200742

2099010 has 64 divisors (see below), whose sum is σ = 5428224. Its totient is φ = 518400.

The previous prime is 2098981. The next prime is 2099017. The reversal of 2099010 is 109902.

It is a happy number.

2099010 is nontrivially palindromic in base 11.

It is not an unprimeable number, because it can be changed into a prime (2099017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34380 + ... + 34440.

It is an arithmetic number, because the mean of its divisors is an integer number (84816).

22099010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2099010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714112).

2099010 is an abundant number, since it is smaller than the sum of its proper divisors (3329214).

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

2099010 is a wasteful number, since it uses less digits than its factorization.

2099010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139.

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 2099010 is about 1448.7960518996. The cubic root of 2099010 is about 128.0377899488.

The spelling of 2099010 in words is "two million, ninety-nine thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 37 61 62 74 93 111 122 155 183 185 186 222 305 310 366 370 465 555 610 915 930 1110 1147 1830 1891 2257 2294 3441 3782 4514 5673 5735 6771 6882 9455 11285 11346 11470 13542 17205 18910 22570 28365 33855 34410 56730 67710 69967 139934 209901 349835 419802 699670 1049505 2099010