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2023920 = 24335937
BaseRepresentation
bin111101110000111110000
310210211022000
413232013300
51004231140
6111214000
723126433
oct7560760
93724260
102023920
111162668
12817300
1355b2b2
143a981a
1529ea30
hex1ee1f0

2023920 has 80 divisors (see below), whose sum is σ = 6978720. Its totient is φ = 539136.

The previous prime is 2023913. The next prime is 2023921. The reversal of 2023920 is 293202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2023893 and 2023902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023921) 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, 1692 + ... + 2628.

It is an arithmetic number, because the mean of its divisors is an integer number (87234).

22023920 is an apocalyptic number.

2023920 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 2023920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489360).

2023920 is an abundant number, since it is smaller than the sum of its proper divisors (4954800).

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

2023920 is a wasteful number, since it uses less digits than its factorization.

2023920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2023920 is about 1422.6454231466. The cubic root of 2023920 is about 126.4924042578.

The spelling of 2023920 in words is "two million, twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 937 1080 1874 2160 2811 3748 4685 5622 7496 8433 9370 11244 14055 14992 16866 18740 22488 25299 28110 33732 37480 42165 44976 50598 56220 67464 74960 84330 101196 112440 126495 134928 168660 202392 224880 252990 337320 404784 505980 674640 1011960 2023920