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5589920 = 255722331
BaseRepresentation
bin10101010100101110100000
3101111222221002
4111110232200
52412334140
6315451132
765341100
oct25245640
911458832
105589920
113178876
121a56aa8
13120945b
14a57200
15756415
hex554ba0

5589920 has 144 divisors (see below), whose sum is σ = 16547328. Its totient is φ = 1774080.

The previous prime is 5589919. The next prime is 5589929. The reversal of 5589920 is 299855.

It is a happy number.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5589929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180305 + ... + 180335.

It is an arithmetic number, because the mean of its divisors is an integer number (114912).

Almost surely, 25589920 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 5589920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273664).

5589920 is an abundant number, since it is smaller than the sum of its proper divisors (10957408).

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

5589920 is a wasteful number, since it uses less digits than its factorization.

5589920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The square root of 5589920 is about 2364.3011652495. The cubic root of 5589920 is about 177.4741878752.

The spelling of 5589920 in words is "five million, five hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 31 32 35 40 46 49 56 62 70 80 92 98 112 115 124 140 155 160 161 184 196 217 224 230 245 248 280 310 322 368 392 434 460 490 496 560 620 644 713 736 784 805 868 920 980 992 1085 1120 1127 1240 1288 1426 1519 1568 1610 1736 1840 1960 2170 2254 2480 2576 2852 3038 3220 3472 3565 3680 3920 4340 4508 4960 4991 5152 5635 5704 6076 6440 6944 7130 7595 7840 8680 9016 9982 11270 11408 12152 12880 14260 15190 17360 18032 19964 22540 22816 24304 24955 25760 28520 30380 34720 34937 36064 39928 45080 48608 49910 57040 60760 69874 79856 90160 99820 114080 121520 139748 159712 174685 180320 199640 243040 279496 349370 399280 558992 698740 798560 1117984 1397480 2794960 5589920