Search a number
-
+
5775240 = 23351719149
BaseRepresentation
bin10110000001111110001000
3101212102010210
4112001332020
52434301430
6323441120
7100042302
oct26017610
911772123
105775240
113295029
121b261a0
131272903
14aa4972
157912b0
hex581f88

5775240 has 128 divisors (see below), whose sum is σ = 19440000. Its totient is φ = 1363968.

The previous prime is 5775239. The next prime is 5775241. The reversal of 5775240 is 425775.

5775240 = T171 + T172 + ... + T340.

It is an interprime number because it is at equal distance from previous prime (5775239) and next prime (5775241).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5775198 and 5775207.

It is not an unprimeable number, because it can be changed into a prime (5775241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38686 + ... + 38834.

It is an arithmetic number, because the mean of its divisors is an integer number (151875).

Almost surely, 25775240 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 5775240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9720000).

5775240 is an abundant number, since it is smaller than the sum of its proper divisors (13664760).

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

5775240 is a wasteful number, since it uses less digits than its factorization.

5775240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 5775240 is about 2403.1729026435. The cubic root of 5775240 is about 179.4141446375.

The spelling of 5775240 in words is "five million, seven hundred seventy-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 19 20 24 30 34 38 40 51 57 60 68 76 85 95 102 114 120 136 149 152 170 190 204 228 255 285 298 323 340 380 408 447 456 510 570 596 646 680 745 760 894 969 1020 1140 1192 1292 1490 1615 1788 1938 2040 2235 2280 2533 2584 2831 2980 3230 3576 3876 4470 4845 5066 5662 5960 6460 7599 7752 8493 8940 9690 10132 11324 12665 12920 14155 15198 16986 17880 19380 20264 22648 25330 28310 30396 33972 37995 38760 42465 48127 50660 56620 60792 67944 75990 84930 96254 101320 113240 144381 151980 169860 192508 240635 288762 303960 339720 385016 481270 577524 721905 962540 1155048 1443810 1925080 2887620 5775240