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2190384 = 243274153
BaseRepresentation
bin1000010110110000110000
311010021122100
420112300300
51030043014
6114540400
724421650
oct10266060
94107570
102190384
111266739
12897700
135b8cb1
14410360
152d4009
hex216c30

2190384 has 120 divisors (see below), whose sum is σ = 7312032. Its totient is φ = 599040.

The previous prime is 2190371. The next prime is 2190389. The reversal of 2190384 is 4830912.

2190384 = T12 + T13 + ... + T235.

It is not an unprimeable number, because it can be changed into a prime (2190389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41302 + ... + 41354.

22190384 is an apocalyptic number.

2190384 is a gapful number since it is divisible by the number (24) 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 2190384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656016).

2190384 is an abundant number, since it is smaller than the sum of its proper divisors (5121648).

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

2190384 is a wasteful number, since it uses less digits than its factorization.

2190384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2190384 is about 1479.9945945847. The cubic root of 2190384 is about 129.8693756957.

The spelling of 2190384 in words is "two million, one hundred ninety thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 41 42 48 53 56 63 72 82 84 106 112 123 126 144 159 164 168 212 246 252 287 318 328 336 369 371 424 477 492 504 574 636 656 738 742 848 861 954 984 1008 1113 1148 1272 1476 1484 1722 1908 1968 2173 2226 2296 2544 2583 2952 2968 3339 3444 3816 4346 4452 4592 5166 5904 5936 6519 6678 6888 7632 8692 8904 10332 13038 13356 13776 15211 17384 17808 19557 20664 26076 26712 30422 34768 39114 41328 45633 52152 53424 60844 78228 91266 104304 121688 136899 156456 182532 243376 273798 312912 365064 547596 730128 1095192 2190384