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5703840 = 2532517233
BaseRepresentation
bin10101110000100010100000
3101201210012100
4111300202200
52430010330
6322130400
766324162
oct25604240
911653170
105703840
11324641a
121ab0a00
13124926c
14a86932
1577a060
hex5708a0

5703840 has 144 divisors (see below), whose sum is σ = 20697768. Its totient is φ = 1425408.

The previous prime is 5703811. The next prime is 5703851. The reversal of 5703840 is 483075.

It can be written as a sum of positive squares in 4 ways, for example, as 4511376 + 1192464 = 2124^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24364 + ... + 24596.

Almost surely, 25703840 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 5703840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10348884).

5703840 is an abundant number, since it is smaller than the sum of its proper divisors (14993928).

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

5703840 is a wasteful number, since it uses less digits than its factorization.

5703840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5703840 is about 2388.2713413681. The cubic root of 5703840 is about 178.6717035287.

The spelling of 5703840 in words is "five million, seven hundred three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 233 240 255 272 288 306 340 360 408 466 480 510 544 612 680 699 720 765 816 932 1020 1165 1224 1360 1398 1440 1530 1632 1864 2040 2097 2330 2448 2720 2796 3060 3495 3728 3961 4080 4194 4660 4896 5592 6120 6990 7456 7922 8160 8388 9320 10485 11184 11883 12240 13980 15844 16776 18640 19805 20970 22368 23766 24480 27960 31688 33552 35649 37280 39610 41940 47532 55920 59415 63376 67104 71298 79220 83880 95064 111840 118830 126752 142596 158440 167760 178245 190128 237660 285192 316880 335520 356490 380256 475320 570384 633760 712980 950640 1140768 1425960 1901280 2851920 5703840