[go: up one dir, main page]

Search a number
-
+
5317440 = 263529191
BaseRepresentation
bin10100010010001101000000
3101000011011020
4110102031000
52330124230
6305545440
763124512
oct24221500
911004136
105317440
113002087
121945280
13114241b
149c5bb2
15700810
hex512340

5317440 has 112 divisors (see below), whose sum is σ = 17556480. Its totient is φ = 1361920.

The previous prime is 5317391. The next prime is 5317451. The reversal of 5317440 is 447135.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5317440.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 27745 + ... + 27935.

Almost surely, 25317440 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 5317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778240).

5317440 is an abundant number, since it is smaller than the sum of its proper divisors (12239040).

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

5317440 is a wasteful number, since it uses less digits than its factorization.

5317440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 5317440 is about 2305.9575017766. The cubic root of 5317440 is about 174.5423689480.

The spelling of 5317440 in words is "five million, three hundred seventeen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 145 160 174 191 192 232 240 290 320 348 382 435 464 480 573 580 696 764 870 928 955 960 1146 1160 1392 1528 1740 1856 1910 2292 2320 2784 2865 3056 3480 3820 4584 4640 5539 5568 5730 6112 6960 7640 9168 9280 11078 11460 12224 13920 15280 16617 18336 22156 22920 27695 27840 30560 33234 36672 44312 45840 55390 61120 66468 83085 88624 91680 110780 132936 166170 177248 183360 221560 265872 332340 354496 443120 531744 664680 886240 1063488 1329360 1772480 2658720 5317440