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5540832 = 253311253
BaseRepresentation
bin10101001000101111100000
3101102111121000
4111020233200
52404301312
6314432000
765045013
oct25105740
911374530
105540832
113144a00
121a32600
1311bcccb
14a4337a
15746adc
hex548be0

5540832 has 144 divisors (see below), whose sum is σ = 18098640. Its totient is φ = 1647360.

The previous prime is 5540819. The next prime is 5540839. The reversal of 5540832 is 2380455.

5540832 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5540796 and 5540805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5540839) 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, 104518 + ... + 104570.

It is an arithmetic number, because the mean of its divisors is an integer number (125685).

Almost surely, 25540832 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 5540832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9049320).

5540832 is an abundant number, since it is smaller than the sum of its proper divisors (12557808).

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

5540832 is a wasteful number, since it uses less digits than its factorization.

5540832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5540832 is about 2353.8971940168. The cubic root of 5540832 is about 176.9531619819.

The spelling of 5540832 in words is "five million, five hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 53 54 66 72 88 96 99 106 108 121 132 144 159 176 198 212 216 242 264 288 297 318 352 363 396 424 432 477 484 528 583 594 636 726 792 848 864 954 968 1056 1089 1166 1188 1272 1431 1452 1584 1696 1749 1908 1936 2178 2332 2376 2544 2862 2904 3168 3267 3498 3816 3872 4356 4664 4752 5088 5247 5724 5808 6413 6534 6996 7632 8712 9328 9504 10494 11448 11616 12826 13068 13992 15264 15741 17424 18656 19239 20988 22896 25652 26136 27984 31482 34848 38478 41976 45792 51304 52272 55968 57717 62964 76956 83952 102608 104544 115434 125928 153912 167904 173151 205216 230868 251856 307824 346302 461736 503712 615648 692604 923472 1385208 1846944 2770416 5540832