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5275440 = 2432517431
BaseRepresentation
bin10100000111111100110000
3100221000112200
4110013330300
52322303230
6305023200
762561202
oct24077460
910830480
105275440
112a83575
121924b00
131129281
149b4772
156e3160
hex507f30

5275440 has 120 divisors (see below), whose sum is σ = 18802368. Its totient is φ = 1320960.

The previous prime is 5275427. The next prime is 5275451. The reversal of 5275440 is 445725.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12025 + ... + 12455.

Almost surely, 25275440 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 5275440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9401184).

5275440 is an abundant number, since it is smaller than the sum of its proper divisors (13526928).

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

5275440 is a wasteful number, since it uses less digits than its factorization.

5275440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 5275440 is about 2296.8326016495. The cubic root of 5275440 is about 174.0816105473.

The spelling of 5275440 in words is "five million, two hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 431 510 612 680 720 765 816 862 1020 1224 1293 1360 1530 1724 2040 2155 2448 2586 3060 3448 3879 4080 4310 5172 6120 6465 6896 7327 7758 8620 10344 12240 12930 14654 15516 17240 19395 20688 21981 25860 29308 31032 34480 36635 38790 43962 51720 58616 62064 65943 73270 77580 87924 103440 109905 117232 131886 146540 155160 175848 219810 263772 293080 310320 329715 351696 439620 527544 586160 659430 879240 1055088 1318860 1758480 2637720 5275440