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5589940 = 2251741401
BaseRepresentation
bin10101010100101110110100
3101111222221211
4111110232310
52412334230
6315451204
765341126
oct25245664
911458854
105589940
113178894
121a56b04
131209475
14a57216
1575642a
hex554bb4

5589940 has 48 divisors (see below), whose sum is σ = 12764304. Its totient is φ = 2048000.

The previous prime is 5589937. The next prime is 5589949. The reversal of 5589940 is 499855.

5589940 = T371 + T372 + ... + T438.

It can be written as a sum of positive squares in 8 ways, for example, as 104976 + 5484964 = 324^2 + 2342^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5589893 and 5589902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5589949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13740 + ... + 14140.

It is an arithmetic number, because the mean of its divisors is an integer number (265923).

Almost surely, 25589940 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 5589940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6382152).

5589940 is an abundant number, since it is smaller than the sum of its proper divisors (7174364).

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

5589940 is a wasteful number, since it uses less digits than its factorization.

5589940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 5589940 is about 2364.3053948253. The cubic root of 5589940 is about 177.4743995347.

The spelling of 5589940 in words is "five million, five hundred eighty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 401 410 697 802 820 1394 1604 2005 2788 3485 4010 6817 6970 8020 13634 13940 16441 27268 32882 34085 65764 68170 82205 136340 164410 279497 328820 558994 1117988 1397485 2794970 5589940