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2190104 = 237237151
BaseRepresentation
bin1000010110101100011000
311010021020222
420112230120
51030040404
6114535212
724421100
oct10265430
94107228
102190104
111266504
12897508
135b8b27
14410200
152d3dbe
hex216b18

2190104 has 48 divisors (see below), whose sum is σ = 4938480. Its totient is φ = 907200.

The previous prime is 2190103. The next prime is 2190107. The reversal of 2190104 is 4010912.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14429 + ... + 14579.

It is an arithmetic number, because the mean of its divisors is an integer number (102885).

22190104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2190104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469240).

2190104 is an abundant number, since it is smaller than the sum of its proper divisors (2748376).

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

2190104 is a wasteful number, since it uses less digits than its factorization.

2190104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 2190104 is about 1479.8999966214. The cubic root of 2190104 is about 129.8638416623.

The spelling of 2190104 in words is "two million, one hundred ninety thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 151 196 259 296 302 392 518 604 1036 1057 1208 1813 2072 2114 3626 4228 5587 7252 7399 8456 11174 14504 14798 22348 29596 39109 44696 59192 78218 156436 273763 312872 547526 1095052 2190104