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5637040 = 245312273
BaseRepresentation
bin10101100000001110110000
3101121101120021
4111200032300
52420341130
6320453224
765625343
oct25401660
911541507
105637040
113200212
121a7a214
131224a36
14a6a45a
1576537a
hex5603b0

5637040 has 40 divisors (see below), whose sum is σ = 13534848. Its totient is φ = 2181120.

The previous prime is 5637031. The next prime is 5637041. The reversal of 5637040 is 407365.

5637040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5636996 and 5637014.

It is not an unprimeable number, because it can be changed into a prime (5637041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1344 + ... + 3616.

Almost surely, 25637040 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 5637040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6767424).

5637040 is an abundant number, since it is smaller than the sum of its proper divisors (7897808).

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

5637040 is a wasteful number, since it uses less digits than its factorization.

5637040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 5637040 is about 2374.2451431981. The cubic root of 5637040 is about 177.9714636744.

It can be divided in two parts, 563 and 7040, that multiplied together give a triangular number (3963520 = T2815).

The spelling of 5637040 in words is "five million, six hundred thirty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2273 2480 4546 9092 11365 18184 22730 36368 45460 70463 90920 140926 181840 281852 352315 563704 704630 1127408 1409260 2818520 5637040