Search a number
-
+
2023949820 = 2235731672767
BaseRepresentation
bin111100010100011…
…0000010111111100
312020001102022012110
41320220300113330
513121112343240
6532500134020
7101104201224
oct17050602774
95201368173
102023949820
11949515502
12485997310
13263411559
14152b31084
15bca43c80
hex78a305fc

2023949820 has 96 divisors (see below), whose sum is σ = 5781178368. Its totient is φ = 528947712.

The previous prime is 2023949803. The next prime is 2023949827. The reversal of 2023949820 is 289493202.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023949827) 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, 730077 + ... + 732843.

It is an arithmetic number, because the mean of its divisors is an integer number (60220608).

Almost surely, 22023949820 is an apocalyptic number.

2023949820 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 2023949820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890589184).

2023949820 is an abundant number, since it is smaller than the sum of its proper divisors (3757228548).

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

2023949820 is a wasteful number, since it uses less digits than its factorization.

2023949820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3019 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2023949820 is about 44988.3298200767. The cubic root of 2023949820 is about 1264.9302549204.

The spelling of 2023949820 in words is "two billion, twenty-three million, nine hundred forty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 167 219 292 334 365 438 501 668 730 835 876 1002 1095 1460 1670 2004 2190 2505 2767 3340 4380 5010 5534 8301 10020 11068 12191 13835 16602 24382 27670 33204 36573 41505 48764 55340 60955 73146 83010 121910 146292 166020 182865 201991 243820 365730 403982 462089 605973 731460 807964 924178 1009955 1211946 1386267 1848356 2019910 2310445 2423892 2772534 3029865 4039820 4620890 5545068 6059730 6931335 9241780 12119460 13862670 27725340 33732497 67464994 101197491 134929988 168662485 202394982 337324970 404789964 505987455 674649940 1011974910 2023949820