[go: up one dir, main page]

Search a number
-
+
5140040 = 2352337151
BaseRepresentation
bin10011100110111001001000
3100200010210212
4103212321020
52303440130
6302100252
761455353
oct23467110
910603725
105140040
1129a0874
12187a688
1310ac759
1497b29a
156b7e95
hex4e6e48

5140040 has 64 divisors (see below), whose sum is σ = 12476160. Its totient is φ = 1900800.

The previous prime is 5140027. The next prime is 5140049. The reversal of 5140040 is 400415.

It is a super-2 number, since 2×51400402 = 52840022403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5139997 and 5140024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140049) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33965 + ... + 34115.

It is an arithmetic number, because the mean of its divisors is an integer number (194940).

Almost surely, 25140040 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 5140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6238080).

5140040 is an abundant number, since it is smaller than the sum of its proper divisors (7336120).

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

5140040 is a wasteful number, since it uses less digits than its factorization.

5140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 5140040 is about 2267.1656313556. The cubic root of 5140040 is about 172.5793515757.

Adding to 5140040 its reverse (400415), we get a palindrome (5540455).

The spelling of 5140040 in words is "five million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 37 40 46 74 92 115 148 151 184 185 230 296 302 370 460 604 740 755 851 920 1208 1480 1510 1702 3020 3404 3473 4255 5587 6040 6808 6946 8510 11174 13892 17020 17365 22348 27784 27935 34040 34730 44696 55870 69460 111740 128501 138920 223480 257002 514004 642505 1028008 1285010 2570020 5140040