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2023260260 = 2257313111499
BaseRepresentation
bin111100010011000…
…1000000001100100
312020000010021022012
41320212020001210
513120423312020
6532433253352
7101065266650
oct17046100144
95200107265
102023260260
1194909441a
12485704258
1326322c728
141529d1a60
15bc9597c5
hex78988064

2023260260 has 96 divisors (see below), whose sum is σ = 5031936000. Its totient is φ = 668707200.

The previous prime is 2023260259. The next prime is 2023260341. The reversal of 2023260260 is 620623202.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1348991 + ... + 1350489.

It is an arithmetic number, because the mean of its divisors is an integer number (52416000).

Almost surely, 22023260260 is an apocalyptic number.

2023260260 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 2023260260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515968000).

2023260260 is an abundant number, since it is smaller than the sum of its proper divisors (3008675740).

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

2023260260 is a wasteful number, since it uses less digits than its factorization.

2023260260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 2023260260 is about 44980.6654019257. The cubic root of 2023260260 is about 1264.7865846287.

Adding to 2023260260 its reverse (620623202), we get a palindrome (2643883462).

The spelling of 2023260260 in words is "two billion, twenty-three million, two hundred sixty thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 311 434 620 622 868 1085 1244 1499 1555 2170 2177 2998 3110 4340 4354 5996 6220 7495 8708 9641 10493 10885 14990 19282 20986 21770 29980 38564 41972 43540 46469 48205 52465 67487 92938 96410 104930 134974 185876 192820 209860 232345 269948 325283 337435 464690 466189 650566 674870 929380 932378 1301132 1349740 1626415 1864756 2330945 3252830 3263323 4661890 6505660 6526646 9323780 13053292 14451859 16316615 28903718 32633230 57807436 65266460 72259295 101163013 144518590 202326026 289037180 404652052 505815065 1011630130 2023260260