Search a number
-
+
1468893060 = 2232541199037
BaseRepresentation
bin101011110001101…
…1000011110000100
310210100222111110200
41113203120132010
511002014034220
6401431250500
751254246025
oct12743303604
93710874420
101468893060
11694174108
1234bb19a30
131a54204bb
14dd126c4c
1588e52890
hex578d8784

1468893060 has 72 divisors (see below), whose sum is σ = 4564339416. Its totient is φ = 382149120.

The previous prime is 1468893031. The next prime is 1468893067. The reversal of 1468893060 is 603988641.

It can be written as a sum of positive squares in 4 ways, for example, as 230979204 + 1237913856 = 15198^2 + 35184^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1468892997 and 1468893015.

It is not an unprimeable number, because it can be changed into a prime (1468893067) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92139 + ... + 106898.

It is an arithmetic number, because the mean of its divisors is an integer number (63393603).

Almost surely, 21468893060 is an apocalyptic number.

1468893060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1468893060 is an abundant number, since it is smaller than the sum of its proper divisors (3095446356).

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

1468893060 is a wasteful number, since it uses less digits than its factorization.

1468893060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199093 (or 199088 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1468893060 is about 38326.1406875255. The cubic root of 1468893060 is about 1136.7458908651.

The spelling of 1468893060 in words is "one billion, four hundred sixty-eight million, eight hundred ninety-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 199037 398074 597111 796148 995185 1194222 1791333 1990370 2388444 2985555 3582666 3980740 5971110 7165332 8160517 8956665 11942220 16321034 17913330 24481551 32642068 35826660 40802585 48963102 73444653 81605170 97926204 122407755 146889306 163210340 244815510 293778612 367223265 489631020 734446530 1468893060