Search a number
-
+
5887840 = 25572751
BaseRepresentation
bin10110011101011101100000
3102002010121011
4112131131200
53001402330
6330110304
7101021500
oct26353540
912063534
105887840
113361692
121b7b394
1312b1c3a
14ad3a00
157b482a
hex59d760

5887840 has 72 divisors (see below), whose sum is σ = 16202592. Its totient is φ = 2016000.

The previous prime is 5887811. The next prime is 5887867. The reversal of 5887840 is 487885.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5887793 and 5887802.

It is a congruent number.

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, 7465 + ... + 8215.

It is an arithmetic number, because the mean of its divisors is an integer number (225036).

Almost surely, 25887840 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 5887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8101296).

5887840 is an abundant number, since it is smaller than the sum of its proper divisors (10314752).

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

5887840 is a wasteful number, since it uses less digits than its factorization.

5887840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 5887840 is about 2426.4871728488. The cubic root of 5887840 is about 180.5726617674.

The spelling of 5887840 in words is "five million, eight hundred eighty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 751 784 980 1120 1502 1568 1960 3004 3755 3920 5257 6008 7510 7840 10514 12016 15020 21028 24032 26285 30040 36799 42056 52570 60080 73598 84112 105140 120160 147196 168224 183995 210280 294392 367990 420560 588784 735980 841120 1177568 1471960 2943920 5887840