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11478272 = 28133449
BaseRepresentation
bin101011110010…
…010100000000
3210121011020012
4223302110000
510414301042
61050004052
7166364231
oct53622400
923534205
1011478272
11652a883
123a16628
1324bb6a0
14174b088
15101ae82
hexaf2500

11478272 has 36 divisors (see below), whose sum is σ = 24681300. Its totient is φ = 5296128.

The previous prime is 11478227. The next prime is 11478317. The reversal of 11478272 is 27287411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11478227) and next prime (11478317).

It can be written as a sum of positive squares in 2 ways, for example, as 614656 + 10863616 = 784^2 + 3296^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1604 + ... + 5052.

Almost surely, 211478272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11478272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12340650).

11478272 is an abundant number, since it is smaller than the sum of its proper divisors (13203028).

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

11478272 is an equidigital number, since it uses as much as digits as its factorization.

11478272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478 (or 3464 counting only the distinct ones).

The product of its digits is 6272, while the sum is 32.

The square root of 11478272 is about 3387.9598580857. The cubic root of 11478272 is about 225.5756256885.

The spelling of 11478272 in words is "eleven million, four hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 3449 6898 13796 27592 44837 55184 89674 110368 179348 220736 358696 441472 717392 882944 1434784 2869568 5739136 11478272