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5095440 = 243357337
BaseRepresentation
bin10011011100000000010000
3100120212122000
4103130000100
52301023230
6301114000
761211340
oct23340020
910525560
105095440
112970309
121858900
13109536c
14968d20
156a9b60
hex4dc010

5095440 has 160 divisors (see below), whose sum is σ = 20117760. Its totient is φ = 1161216.

The previous prime is 5095429. The next prime is 5095471. The reversal of 5095440 is 445905.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14952 + ... + 15288.

It is an arithmetic number, because the mean of its divisors is an integer number (125736).

Almost surely, 25095440 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 5095440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10058880).

5095440 is an abundant number, since it is smaller than the sum of its proper divisors (15022320).

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

5095440 is a wasteful number, since it uses less digits than its factorization.

5095440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5095440 is about 2257.3081313813. The cubic root of 5095440 is about 172.0787452665.

The spelling of 5095440 in words is "five million, ninety-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 337 360 378 420 432 504 540 560 630 674 720 756 840 945 1008 1011 1080 1260 1348 1512 1680 1685 1890 2022 2160 2359 2520 2696 3024 3033 3370 3780 4044 4718 5040 5055 5392 6066 6740 7077 7560 8088 9099 9436 10110 11795 12132 13480 14154 15120 15165 16176 18198 18872 20220 21231 23590 24264 26960 28308 30330 35385 36396 37744 40440 42462 45495 47180 48528 56616 60660 63693 70770 72792 80880 84924 90990 94360 106155 113232 121320 127386 141540 145584 169848 181980 188720 212310 242640 254772 283080 318465 339696 363960 424620 509544 566160 636930 727920 849240 1019088 1273860 1698480 2547720 5095440