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1468272 = 243132181
BaseRepresentation
bin101100110011101110000
32202121002110
411212131300
5333441042
651245320
715323451
oct5463560
92677073
101468272
11913153
125a9840
133c5400
142a3128
151e009c
hex166770

1468272 has 60 divisors (see below), whose sum is σ = 4129944. Its totient is φ = 449280.

The previous prime is 1468267. The next prime is 1468277. The reversal of 1468272 is 2728641.

It is an interprime number because it is at equal distance from previous prime (1468267) and next prime (1468277).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8022 + ... + 8202.

21468272 is an apocalyptic number.

1468272 is a gapful number since it is divisible by the number (12) 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 1468272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064972).

1468272 is an abundant number, since it is smaller than the sum of its proper divisors (2661672).

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

1468272 is a wasteful number, since it uses less digits than its factorization.

1468272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 199 counting only the distinct ones).

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

The square root of 1468272 is about 1211.7227405640. The cubic root of 1468272 is about 113.6585659794.

It can be divided in two parts, 14 and 68272, that added together give a palindrome (68286).

The spelling of 1468272 in words is "one million, four hundred sixty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 181 208 312 338 362 507 543 624 676 724 1014 1086 1352 1448 2028 2172 2353 2704 2896 4056 4344 4706 7059 8112 8688 9412 14118 18824 28236 30589 37648 56472 61178 91767 112944 122356 183534 244712 367068 489424 734136 1468272