Search a number
-
+
5780007144 = 2332411957997
BaseRepresentation
bin1010110001000001…
…11110100011101000
3112220211002210012200
411120200332203220
543314140212034
62353313340200
7263143151532
oct53040764350
915824083180
105780007144
1124a6732a0a
121153867660
13711631692
143cb904852
1523c67ea99
hex15883e8e8

5780007144 has 48 divisors (see below), whose sum is σ = 16036003620. Its totient is φ = 1879676160.

The previous prime is 5780007131. The next prime is 5780007161. The reversal of 5780007144 is 4417000875.

It can be written as a sum of positive squares in 2 ways, for example, as 4600908900 + 1179098244 = 67830^2 + 34338^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5780007099 and 5780007108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 976047 + ... + 981950.

Almost surely, 25780007144 is an apocalyptic number.

It is an amenable number.

5780007144 is an abundant number, since it is smaller than the sum of its proper divisors (10255996476).

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

5780007144 is a wasteful number, since it uses less digits than its factorization.

5780007144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958050 (or 1958043 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 5780007144 is about 76026.3582187125. The cubic root of 5780007144 is about 1794.6349657433.

The spelling of 5780007144 in words is "five billion, seven hundred eighty million, seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 1957997 3915994 5873991 7831988 11747982 15663976 17621973 23495964 35243946 46991928 70487892 80277877 140975784 160555754 240833631 321111508 481667262 642223016 722500893 963334524 1445001786 1926669048 2890003572 5780007144