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2184240 = 243519479
BaseRepresentation
bin1000010101010000110000
311002222012210
420111100300
51024343430
6114452120
724365022
oct10252060
94088183
102184240
111262063
12894040
135b6266
1440c012
152d22b0
hex215430

2184240 has 80 divisors (see below), whose sum is σ = 7142400. Its totient is φ = 550656.

The previous prime is 2184223. The next prime is 2184257. The reversal of 2184240 is 424812.

It is an interprime number because it is at equal distance from previous prime (2184223) and next prime (2184257).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4321 + ... + 4799.

It is an arithmetic number, because the mean of its divisors is an integer number (89280).

22184240 is an apocalyptic number.

2184240 is a gapful number since it is divisible by the number (20) 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 2184240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571200).

2184240 is an abundant number, since it is smaller than the sum of its proper divisors (4958160).

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

2184240 is a wasteful number, since it uses less digits than its factorization.

2184240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2184240 is about 1477.9174537165. The cubic root of 2184240 is about 129.7478346541.

The spelling of 2184240 in words is "two million, one hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 479 570 760 912 958 1140 1437 1520 1916 2280 2395 2874 3832 4560 4790 5748 7185 7664 9101 9580 11496 14370 18202 19160 22992 27303 28740 36404 38320 45505 54606 57480 72808 91010 109212 114960 136515 145616 182020 218424 273030 364040 436848 546060 728080 1092120 2184240