Search a number
-
+
2023500 = 223531971
BaseRepresentation
bin111101110000001001100
310210210201110
413232001030
51004223000
6111212020
723125263
oct7560114
93723643
102023500
111162316
12817010
1355b04b
143a95da
1529e850
hex1ee04c

2023500 has 96 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 504000.

The previous prime is 2023453. The next prime is 2023501. The reversal of 2023500 is 53202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28465 + ... + 28535.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

22023500 is an apocalyptic number.

2023500 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 2023500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

2023500 is an abundant number, since it is smaller than the sum of its proper divisors (4266420).

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

2023500 is a wasteful number, since it uses less digits than its factorization.

2023500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 2023500 is about 1422.4978031617. The cubic root of 2023500 is about 126.4836538321.

Adding to 2023500 its reverse (53202), we get a palindrome (2076702).

The spelling of 2023500 in words is "two million, twenty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 71 75 76 95 100 114 125 142 150 190 213 228 250 284 285 300 355 375 380 426 475 500 570 710 750 852 950 1065 1140 1349 1420 1425 1500 1775 1900 2130 2375 2698 2850 3550 4047 4260 4750 5325 5396 5700 6745 7100 7125 8094 8875 9500 10650 13490 14250 16188 17750 20235 21300 26625 26980 28500 33725 35500 40470 53250 67450 80940 101175 106500 134900 168625 202350 337250 404700 505875 674500 1011750 2023500