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5590368 = 253274759
BaseRepresentation
bin10101010100110101100000
3101112000112200
4111110311200
52412342433
6315453200
765342310
oct25246540
911460480
105590368
113179143
121a57200
131209714
14a57440
15756613
hex554d60

5590368 has 144 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 1536768.

The previous prime is 5590363. The next prime is 5590381. The reversal of 5590368 is 8630955.

5590368 is a `hidden beast` number, since 5 + 590 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5590363) 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, 94723 + ... + 94781.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 25590368 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 5590368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

5590368 is an abundant number, since it is smaller than the sum of its proper divisors (13279392).

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

5590368 is a wasteful number, since it uses less digits than its factorization.

5590368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5590368 is about 2364.3959059345. The cubic root of 5590368 is about 177.4789289277.

The spelling of 5590368 in words is "five million, five hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 59 63 72 84 94 96 112 118 126 141 144 168 177 188 224 236 252 282 288 329 336 354 376 413 423 472 504 531 564 658 672 708 752 826 846 944 987 1008 1062 1128 1239 1316 1416 1504 1652 1692 1888 1974 2016 2124 2256 2478 2632 2773 2832 2961 3304 3384 3717 3948 4248 4512 4956 5264 5546 5664 5922 6608 6768 7434 7896 8319 8496 9912 10528 11092 11844 13216 13536 14868 15792 16638 16992 19411 19824 22184 23688 24957 29736 31584 33276 38822 39648 44368 47376 49914 58233 59472 66552 77644 88736 94752 99828 116466 118944 133104 155288 174699 199656 232932 266208 310576 349398 399312 465864 621152 698796 798624 931728 1397592 1863456 2795184 5590368