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2023728 = 243719317
BaseRepresentation
bin111101110000100110000
310210211000220
413232010300
51004224403
6111213040
723126040
oct7560460
93724026
102023728
111162503
12817180
1355b195
143a9720
1529e953
hex1ee130

2023728 has 80 divisors (see below), whose sum is σ = 6309120. Its totient is φ = 546048.

The previous prime is 2023727. The next prime is 2023741. The reversal of 2023728 is 8273202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2023698 and 2023707.

It is not an unprimeable number, because it can be changed into a prime (2023727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6226 + ... + 6542.

It is an arithmetic number, because the mean of its divisors is an integer number (78864).

22023728 is an apocalyptic number.

2023728 is a gapful number since it is divisible by the number (28) 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 2023728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154560).

2023728 is an abundant number, since it is smaller than the sum of its proper divisors (4285392).

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

2023728 is a wasteful number, since it uses less digits than its factorization.

2023728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2023728 is about 1422.5779416257. The cubic root of 2023728 is about 126.4884042134.

The spelling of 2023728 in words is "two million, twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 317 336 399 456 532 634 798 912 951 1064 1268 1596 1902 2128 2219 2536 3192 3804 4438 5072 6023 6384 6657 7608 8876 12046 13314 15216 17752 18069 24092 26628 35504 36138 42161 48184 53256 72276 84322 96368 106512 126483 144552 168644 252966 289104 337288 505932 674576 1011864 2023728