Search a number
-
+
2023442540 = 2257311912441
BaseRepresentation
bin111100010011011…
…0100100001101100
312020000110112100022
41320212310201230
513121000130130
6532441221312
7101066656250
oct17046644154
95200415308
102023442540
119491a9369
12485791838
132632946a2
14152a3c260
15bc9937e5
hex789b486c

2023442540 has 96 divisors (see below), whose sum is σ = 5041225728. Its totient is φ = 667584000.

The previous prime is 2023442539. The next prime is 2023442557. The reversal of 2023442540 is 452443202.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 827720 + ... + 830160.

It is an arithmetic number, because the mean of its divisors is an integer number (52512768).

Almost surely, 22023442540 is an apocalyptic number.

2023442540 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 2023442540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520612864).

2023442540 is an abundant number, since it is smaller than the sum of its proper divisors (3017783188).

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

2023442540 is a wasteful number, since it uses less digits than its factorization.

2023442540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 2023442540 is about 44982.6915601990. The cubic root of 2023442540 is about 1264.8245659634.

Adding to 2023442540 its reverse (452443202), we get a palindrome (2475885742).

The spelling of 2023442540 in words is "two billion, twenty-three million, four hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 191 217 310 382 434 620 764 868 955 1085 1337 1910 2170 2441 2674 3820 4340 4882 5348 5921 6685 9764 11842 12205 13370 17087 23684 24410 26740 29605 34174 41447 48820 59210 68348 75671 82894 85435 118420 151342 165788 170870 207235 302684 341740 378355 414470 466231 529697 756710 828940 932462 1059394 1513420 1864924 2118788 2331155 2648485 3263617 4662310 5296970 6527234 9324620 10593940 13054468 14453161 16318085 28906322 32636170 57812644 65272340 72265805 101172127 144531610 202344254 289063220 404688508 505860635 1011721270 2023442540