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2093920 = 25523569
BaseRepresentation
bin111111111001101100000
310221101022121
413333031200
51014001140
6112514024
723540503
oct7771540
93841277
102093920
111200214
1284b914
1358410a
143c713a
152b564a
hex1ff360

2093920 has 48 divisors (see below), whose sum is σ = 5171040. Its totient is φ = 799744.

The previous prime is 2093893. The next prime is 2093929. The reversal of 2093920 is 293902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3396 + ... + 3964.

It is an arithmetic number, because the mean of its divisors is an integer number (107730).

22093920 is an apocalyptic number.

2093920 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 2093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585520).

2093920 is an abundant number, since it is smaller than the sum of its proper divisors (3077120).

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

2093920 is a wasteful number, since it uses less digits than its factorization.

2093920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 2093920 is about 1447.0383547094. The cubic root of 2093920 is about 127.9342109834.

The spelling of 2093920 in words is "two million, ninety-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 569 736 920 1138 1840 2276 2845 3680 4552 5690 9104 11380 13087 18208 22760 26174 45520 52348 65435 91040 104696 130870 209392 261740 418784 523480 1046960 2093920