Search a number
-
+
6023223640 = 235752341131
BaseRepresentation
bin1011001110000001…
…10001100101011000
3120112202202110112001
411213000301211120
544313421124030
62433402330344
7302155361530
oct54700614530
916482673461
106023223640
112610a53085
1212011b99b4
1374cb3a575
14411d364c0
15253bc3cca
hex167031958

6023223640 has 64 divisors (see below), whose sum is σ = 15518280960. Its totient is φ = 2061106560.

The previous prime is 6023223629. The next prime is 6023223653. The reversal of 6023223640 is 463223206.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 6023223599 and 6023223608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125875 + ... + 167005.

It is an arithmetic number, because the mean of its divisors is an integer number (242473140).

Almost surely, 26023223640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6023223640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7759140480).

6023223640 is an abundant number, since it is smaller than the sum of its proper divisors (9495057320).

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

6023223640 is a wasteful number, since it uses less digits than its factorization.

6023223640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41672 (or 41668 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 6023223640 is about 77609.4300971216. The cubic root of 6023223640 is about 1819.4620275282.

Adding to 6023223640 its reverse (463223206), we get a palindrome (6486446846).

The spelling of 6023223640 in words is "six billion, twenty-three million, two hundred twenty-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 523 1046 2092 2615 3661 4184 5230 7322 10460 14644 18305 20920 29288 36610 41131 73220 82262 146440 164524 205655 287917 329048 411310 575834 822620 1151668 1439585 1645240 2303336 2879170 5758340 11516680 21511513 43023026 86046052 107557565 150580591 172092104 215115130 301161182 430230260 602322364 752902955 860460520 1204644728 1505805910 3011611820 6023223640