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5609142 = 2337111971
BaseRepresentation
bin10101011001011010110110
3101112222022000
4111121122312
52413443032
6320120130
765451120
oct25313266
911488260
105609142
113191260
121a66046
131215126
14a60210
1575be7c
hex5596b6

5609142 has 128 divisors (see below), whose sum is σ = 16588800. Its totient is φ = 1360800.

The previous prime is 5609141. The next prime is 5609143. The reversal of 5609142 is 2419065.

It is an interprime number because it is at equal distance from previous prime (5609141) and next prime (5609143).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5609141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78967 + ... + 79037.

It is an arithmetic number, because the mean of its divisors is an integer number (129600).

Almost surely, 25609142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5609142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294400).

5609142 is an abundant number, since it is smaller than the sum of its proper divisors (10979658).

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

5609142 is a wasteful number, since it uses less digits than its factorization.

5609142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5609142 is about 2368.3627255976. The cubic root of 5609142 is about 177.6773813636.

The spelling of 5609142 in words is "five million, six hundred nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 27 33 38 42 54 57 63 66 71 77 99 114 126 133 142 154 171 189 198 209 213 231 266 297 342 378 399 418 426 462 497 513 594 627 639 693 781 798 994 1026 1197 1254 1278 1349 1386 1463 1491 1562 1881 1917 2079 2343 2394 2698 2926 2982 3591 3762 3834 4047 4158 4389 4473 4686 5467 5643 7029 7182 8094 8778 8946 9443 10934 11286 12141 13167 13419 14058 14839 16401 18886 21087 24282 26334 26838 28329 29678 32802 36423 39501 42174 44517 49203 56658 72846 79002 84987 89034 98406 103873 133551 147609 169974 207746 254961 267102 295218 311619 400653 509922 623238 801306 934857 1869714 2804571 5609142