Search a number
-
+
1468530 = 23457237
BaseRepresentation
bin101100110100001110010
32202121110000
411212201302
5333443110
651250430
715324300
oct5464162
92677400
101468530
11913368
125a9a16
133c556b
142a3270
151e01c0
hex166872

1468530 has 120 divisors (see below), whose sum is σ = 4717548. Its totient is φ = 326592.

The previous prime is 1468517. The next prime is 1468543. The reversal of 1468530 is 358641.

It is an interprime number because it is at equal distance from previous prime (1468517) and next prime (1468543).

It can be written as a sum of positive squares in 2 ways, for example, as 1432809 + 35721 = 1197^2 + 189^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1468494 and 1468503.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 39672 + ... + 39708.

21468530 is an apocalyptic number.

1468530 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 1468530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358774).

1468530 is an abundant number, since it is smaller than the sum of its proper divisors (3249018).

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

1468530 is a wasteful number, since it uses less digits than its factorization.

1468530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1468530 is about 1211.8291958853. The cubic root of 1468530 is about 113.6652228278.

The spelling of 1468530 in words is "one million, four hundred sixty-eight thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 37 42 45 49 54 63 70 74 81 90 98 105 111 126 135 147 162 185 189 210 222 245 259 270 294 315 333 370 378 405 441 490 518 555 567 630 666 735 777 810 882 945 999 1110 1134 1295 1323 1470 1554 1665 1813 1890 1998 2205 2331 2590 2646 2835 2997 3330 3626 3885 3969 4410 4662 4995 5439 5670 5994 6615 6993 7770 7938 9065 9990 10878 11655 13230 13986 14985 16317 18130 19845 20979 23310 27195 29970 32634 34965 39690 41958 48951 54390 69930 81585 97902 104895 146853 163170 209790 244755 293706 489510 734265 1468530