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5717040 = 243574183
BaseRepresentation
bin10101110011110000110000
3101202110022020
4111303300300
52430421130
6322311440
766410520
oct25636060
911673266
105717040
11325532a
121ab8580
131252284
14a8b680
1577de10
hex573c30

5717040 has 160 divisors (see below), whose sum is σ = 20998656. Its totient is φ = 1259520.

The previous prime is 5717029. The next prime is 5717053. The reversal of 5717040 is 407175.

5717040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 5717040.

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 31 ways as a sum of consecutive naturals, for example, 68839 + ... + 68921.

Almost surely, 25717040 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 5717040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499328).

5717040 is an abundant number, since it is smaller than the sum of its proper divisors (15281616).

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

5717040 is a wasteful number, since it uses less digits than its factorization.

5717040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 5717040 is about 2391.0332494551. The cubic root of 5717040 is about 178.8094265058.

The spelling of 5717040 in words is "five million, seven hundred seventeen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 41 42 48 56 60 70 80 82 83 84 105 112 120 123 140 164 166 168 205 210 240 246 249 280 287 328 332 336 410 415 420 492 498 560 574 581 615 656 664 820 830 840 861 984 996 1148 1162 1230 1245 1328 1435 1640 1660 1680 1722 1743 1968 1992 2296 2324 2460 2490 2870 2905 3280 3320 3403 3444 3486 3984 4305 4592 4648 4920 4980 5740 5810 6640 6806 6888 6972 8610 8715 9296 9840 9960 10209 11480 11620 13612 13776 13944 17015 17220 17430 19920 20418 22960 23240 23821 27224 27888 34030 34440 34860 40836 46480 47642 51045 54448 68060 68880 69720 71463 81672 95284 102090 119105 136120 139440 142926 163344 190568 204180 238210 272240 285852 357315 381136 408360 476420 571704 714630 816720 952840 1143408 1429260 1905680 2858520 5717040