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2190096 = 243267227
BaseRepresentation
bin1000010110101100010000
311010021020200
420112230100
51030040341
6114535200
724421056
oct10265420
94107220
102190096
1112664a7
12897500
135b8b1c
144101d6
152d3db6
hex216b10

2190096 has 60 divisors (see below), whose sum is σ = 6248112. Its totient is φ = 715968.

The previous prime is 2190091. The next prime is 2190103. The reversal of 2190096 is 6900912.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2190091) 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, 9535 + ... + 9761.

22190096 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 2190096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124056).

2190096 is an abundant number, since it is smaller than the sum of its proper divisors (4058016).

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

2190096 is a wasteful number, since it uses less digits than its factorization.

2190096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 299 counting only the distinct ones).

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

The square root of 2190096 is about 1479.8972937336. The cubic root of 2190096 is about 129.8636835401.

The spelling of 2190096 in words is "two million, one hundred ninety thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 227 268 402 454 536 603 681 804 908 1072 1206 1362 1608 1816 2043 2412 2724 3216 3632 4086 4824 5448 8172 9648 10896 15209 16344 30418 32688 45627 60836 91254 121672 136881 182508 243344 273762 365016 547524 730032 1095048 2190096