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2093800 = 235219229
BaseRepresentation
bin111111111001011101000
310221101011011
413333023220
51014000200
6112513304
723540242
oct7771350
93841134
102093800
111200115
1284b834
13584047
143c7092
152b55ba
hex1ff2e8

2093800 has 72 divisors (see below), whose sum is σ = 5314950. Its totient is φ = 766080.

The previous prime is 2093789. The next prime is 2093801. The reversal of 2093800 is 83902.

It can be written as a sum of positive squares in 3 ways, for example, as 1572516 + 521284 = 1254^2 + 722^2 .

It is not an unprimeable number, because it can be changed into a prime (2093801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 72186 + ... + 72214.

22093800 is an apocalyptic number.

2093800 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 2093800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657475).

2093800 is an abundant number, since it is smaller than the sum of its proper divisors (3221150).

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

2093800 is a wasteful number, since it uses less digits than its factorization.

2093800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2093800 is about 1446.9968901141. The cubic root of 2093800 is about 127.9317670189.

The spelling of 2093800 in words is "two million, ninety-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 19 20 25 29 38 40 50 58 76 95 100 116 145 152 190 200 232 290 361 380 475 551 580 722 725 760 950 1102 1160 1444 1450 1805 1900 2204 2755 2888 2900 3610 3800 4408 5510 5800 7220 9025 10469 11020 13775 14440 18050 20938 22040 27550 36100 41876 52345 55100 72200 83752 104690 110200 209380 261725 418760 523450 1046900 2093800