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2093360 = 245137191
BaseRepresentation
bin111111111000100110000
310221100112212
413333010300
51013441420
6112511252
723536043
oct7770460
93840485
102093360
1111aa855
1284b528
13583a99
143c6c5a
152b53c5
hex1ff130

2093360 has 40 divisors (see below), whose sum is σ = 4928256. Its totient is φ = 826880.

The previous prime is 2093359. The next prime is 2093389. The reversal of 2093360 is 633902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10865 + ... + 11055.

22093360 is an apocalyptic number.

2093360 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 2093360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464128).

2093360 is an abundant number, since it is smaller than the sum of its proper divisors (2834896).

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

2093360 is a wasteful number, since it uses less digits than its factorization.

2093360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 2093360 is about 1446.8448430983. The cubic root of 2093360 is about 127.9228050167.

The spelling of 2093360 in words is "two million, ninety-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 191 274 382 548 685 764 955 1096 1370 1528 1910 2192 2740 3056 3820 5480 7640 10960 15280 26167 52334 104668 130835 209336 261670 418672 523340 1046680 2093360