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2023412560 = 245138112399
BaseRepresentation
bin111100010011010…
…1101001101010000
312020000102000012221
41320212231031100
513120443200220
6532440430424
7101066502661
oct17046551520
95200360187
102023412560
11949188894
12485778414
13263283b50
14152a31368
15bc9899aa
hex789ad350

2023412560 has 80 divisors (see below), whose sum is σ = 5074675200. Its totient is φ = 745873920.

The previous prime is 2023412551. The next prime is 2023412561. The reversal of 2023412560 is 652143202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023412561) 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, 842241 + ... + 844639.

It is an arithmetic number, because the mean of its divisors is an integer number (63433440).

Almost surely, 22023412560 is an apocalyptic number.

2023412560 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 2023412560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537337600).

2023412560 is an abundant number, since it is smaller than the sum of its proper divisors (3051262640).

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

2023412560 is a wasteful number, since it uses less digits than its factorization.

2023412560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3230 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2023412560 is about 44982.3583196791. The cubic root of 2023412560 is about 1264.8183192449.

Adding to 2023412560 its reverse (652143202), we get a palindrome (2675555762).

The spelling of 2023412560 in words is "two billion, twenty-three million, four hundred twelve thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 811 1040 1622 2399 3244 4055 4798 6488 8110 9596 10543 11995 12976 16220 19192 21086 23990 31187 32440 38384 42172 47980 52715 62374 64880 84344 95960 105430 124748 155935 168688 191920 210860 249496 311870 421720 498992 623740 843440 1247480 1945589 2494960 3891178 7782356 9727945 15564712 19455890 25292657 31129424 38911780 50585314 77823560 101170628 126463285 155647120 202341256 252926570 404682512 505853140 1011706280 2023412560