Search a number
-
+
5770440 = 2334513137
BaseRepresentation
bin10110000000110011001000
3101212011120000
4112000303020
52434123230
6323403000
7100022304
oct26006310
911764500
105770440
113291465
121b23460
131270680
14aa2d04
1578eb60
hex580cc8

5770440 has 160 divisors (see below), whose sum is σ = 21039480. Its totient is φ = 1410048.

The previous prime is 5770439. The next prime is 5770459. The reversal of 5770440 is 440775.

It can be written as a sum of positive squares in 4 ways, for example, as 3849444 + 1920996 = 1962^2 + 1386^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42052 + ... + 42188.

Almost surely, 25770440 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 5770440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10519740).

5770440 is an abundant number, since it is smaller than the sum of its proper divisors (15269040).

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

5770440 is a wasteful number, since it uses less digits than its factorization.

5770440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 5770440 is about 2402.1740153453. The cubic root of 5770440 is about 179.3644251112.

The spelling of 5770440 in words is "five million, seven hundred seventy thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 137 156 162 180 195 216 234 260 270 274 312 324 351 360 390 405 411 468 520 540 548 585 648 685 702 780 810 822 936 1053 1080 1096 1170 1233 1370 1404 1560 1620 1644 1755 1781 2055 2106 2340 2466 2740 2808 3240 3288 3510 3562 3699 4110 4212 4680 4932 5265 5343 5480 6165 7020 7124 7398 8220 8424 8905 9864 10530 10686 11097 12330 14040 14248 14796 16029 16440 17810 18495 21060 21372 22194 24660 26715 29592 32058 35620 36990 42120 42744 44388 48087 49320 53430 55485 64116 71240 73980 80145 88776 96174 106860 110970 128232 144261 147960 160290 192348 213720 221940 240435 288522 320580 384696 443880 480870 577044 641160 721305 961740 1154088 1442610 1923480 2885220 5770440