Search a number
-
+
1075843230 = 2357114310831
BaseRepresentation
bin100000000100000…
…0001000010011110
32202222101111110120
41000020001002132
54200403440410
6254431015410
735442342120
oct10010010236
92688344416
101075843230
11502315a40
1226036a566
13141b73537
14a2c51210
15646b3570
hex4020109e

1075843230 has 128 divisors (see below), whose sum is σ = 3294314496. Its totient is φ = 218332800.

The previous prime is 1075843211. The next prime is 1075843243. The reversal of 1075843230 is 323485701.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1075843191 and 1075843200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93915 + ... + 104745.

It is an arithmetic number, because the mean of its divisors is an integer number (25736832).

Almost surely, 21075843230 is an apocalyptic number.

1075843230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075843230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647157248).

1075843230 is an abundant number, since it is smaller than the sum of its proper divisors (2218471266).

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

1075843230 is a wasteful number, since it uses less digits than its factorization.

1075843230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10902.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 1075843230 is about 32800.0492377679. The cubic root of 1075843230 is about 1024.6675836597.

The spelling of 1075843230 in words is "one billion, seventy-five million, eight hundred forty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 43 55 66 70 77 86 105 110 129 154 165 210 215 231 258 301 330 385 430 462 473 602 645 770 903 946 1155 1290 1419 1505 1806 2310 2365 2838 3010 3311 4515 4730 6622 7095 9030 9933 10831 14190 16555 19866 21662 32493 33110 49665 54155 64986 75817 99330 108310 119141 151634 162465 227451 238282 324930 357423 379085 454902 465733 595705 714846 758170 833987 931466 1137255 1191410 1397199 1667974 1787115 2274510 2328665 2501961 2794398 3260131 3574230 4169935 4657330 5003922 5123063 6520262 6985995 8339870 9780393 10246126 12509805 13971990 15369189 16300655 19560786 25019610 25615315 30738378 32601310 35861441 48901965 51230630 71722882 76845945 97803930 107584323 153691890 179307205 215168646 358614410 537921615 1075843230