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2093420 = 225719787
BaseRepresentation
bin111111111000101101100
310221100122002
413333011230
51013442140
6112511432
723536160
oct7770554
93840562
102093420
1111aa8aa
1284b578
13583b14
143c6ca0
152b5415
hex1ff16c

2093420 has 48 divisors (see below), whose sum is σ = 5295360. Its totient is φ = 679104.

The previous prime is 2093417. The next prime is 2093449. The reversal of 2093420 is 243902.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2093392 and 2093401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2267 + ... + 3053.

It is an arithmetic number, because the mean of its divisors is an integer number (110320).

22093420 is an apocalyptic number.

2093420 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 2093420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647680).

2093420 is an abundant number, since it is smaller than the sum of its proper divisors (3201940).

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

2093420 is a wasteful number, since it uses less digits than its factorization.

2093420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2093420 is about 1446.8655777231. The cubic root of 2093420 is about 127.9240271818.

The spelling of 2093420 in words is "two million, ninety-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 787 1330 1574 2660 3148 3935 5509 7870 11018 14953 15740 22036 27545 29906 55090 59812 74765 104671 110180 149530 209342 299060 418684 523355 1046710 2093420