[go: up one dir, main page]

Search a number
-
+
5600040 = 2335232029
BaseRepresentation
bin10101010111001100101000
3101112111210220
4111113030220
52413200130
6320010040
765412435
oct25271450
911474726
105600040
113185436
121a60920
131210c44
14a5ab8c
15759410
hex557328

5600040 has 64 divisors (see below), whose sum is σ = 17539200. Its totient is φ = 1427712.

The previous prime is 5600039. The next prime is 5600047. The reversal of 5600040 is 400065.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5599992 and 5600019.

It is not an unprimeable number, because it can be changed into a prime (5600047) 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, 1746 + ... + 3774.

It is an arithmetic number, because the mean of its divisors is an integer number (274050).

Almost surely, 25600040 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 5600040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8769600).

5600040 is an abundant number, since it is smaller than the sum of its proper divisors (11939160).

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

5600040 is a wasteful number, since it uses less digits than its factorization.

5600040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5600040 is about 2366.4403647673. The cubic root of 5600040 is about 177.5812231589.

The spelling of 5600040 in words is "five million, six hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2029 2760 4058 6087 8116 10145 12174 16232 20290 24348 30435 40580 46667 48696 60870 81160 93334 121740 140001 186668 233335 243480 280002 373336 466670 560004 700005 933340 1120008 1400010 1866680 2800020 5600040