Search a number
-
+
1468740 = 2235713269
BaseRepresentation
bin101100110100101000100
32202121201210
411212211010
5333444430
651251420
715325020
oct5464504
92677653
101468740
11913539
125a9b70
133c56a0
142a3380
151e02b0
hex166944

1468740 has 96 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 308736.

The previous prime is 1468739. The next prime is 1468741. The reversal of 1468740 is 478641.

It is an interprime number because it is at equal distance from previous prime (1468739) and next prime (1468741).

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 = 1468698 and 1468707.

It is not an unprimeable number, because it can be changed into a prime (1468741) 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, 5326 + ... + 5594.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

21468740 is an apocalyptic number.

1468740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

1468740 is an abundant number, since it is smaller than the sum of its proper divisors (3611580).

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

1468740 is a wasteful number, since it uses less digits than its factorization.

1468740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 1468740 is about 1211.9158386621. The cubic root of 1468740 is about 113.6706406173.

Subtracting from 1468740 its reverse (478641), we obtain a palindrome (990099).

The spelling of 1468740 in words is "one million, four hundred sixty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 269 273 364 390 420 455 538 546 780 807 910 1076 1092 1345 1365 1614 1820 1883 2690 2730 3228 3497 3766 4035 5380 5460 5649 6994 7532 8070 9415 10491 11298 13988 16140 17485 18830 20982 22596 24479 28245 34970 37660 41964 48958 52455 56490 69940 73437 97916 104910 112980 122395 146874 209820 244790 293748 367185 489580 734370 1468740