[go: up one dir, main page]

Search a number
-
+
1230605250 = 235371571493
BaseRepresentation
bin100100101011001…
…1000101111000010
310011202121020001020
41021112120233002
510010013332000
6322040050310
742331654260
oct11126305702
93152536036
101230605250
1158170aa36
122a4163996
13167c4bab4
14b9619430
1573083ba0
hex49598bc2

1230605250 has 128 divisors (see below), whose sum is σ = 3535114752. Its totient is φ = 279302400.

The previous prime is 1230605213. The next prime is 1230605263. The reversal of 1230605250 is 525060321.

It is a self number, because there is not a number n which added to its sum of digits gives 1230605250.

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, 823504 + ... + 824996.

It is an arithmetic number, because the mean of its divisors is an integer number (27618084).

Almost surely, 21230605250 is an apocalyptic number.

1230605250 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 1230605250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767557376).

1230605250 is an abundant number, since it is smaller than the sum of its proper divisors (2304509502).

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

1230605250 is a wasteful number, since it uses less digits than its factorization.

1230605250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1230605250 is about 35079.9836088901. The cubic root of 1230605250 is about 1071.6169833735.

Adding to 1230605250 its reverse (525060321), we get a palindrome (1755665571).

The spelling of 1230605250 in words is "one billion, two hundred thirty million, six hundred five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 157 175 210 250 314 350 375 471 525 750 785 875 942 1050 1099 1493 1570 1750 2198 2355 2625 2986 3297 3925 4479 4710 5250 5495 6594 7465 7850 8958 10451 10990 11775 14930 16485 19625 20902 22395 23550 27475 31353 32970 37325 39250 44790 52255 54950 58875 62706 74650 82425 104510 111975 117750 137375 156765 164850 186625 223950 234401 261275 274750 313530 373250 412125 468802 522550 559875 703203 783825 824250 1119750 1172005 1306375 1406406 1567650 1640807 2344010 2612750 3281614 3516015 3919125 4922421 5860025 7032030 7838250 8204035 9844842 11720050 16408070 17580075 24612105 29300125 35160150 41020175 49224210 58600250 82040350 87900375 123060525 175800750 205100875 246121050 410201750 615302625 1230605250