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11241864 = 2332193809
BaseRepresentation
bin101010111000…
…100110001000
3210011010221100
4222320212020
510334214424
61040541400
7164361054
oct52704610
923133840
1011241864
1163891a7
123921860
132437bba
1416c8c64
15ec0dc9
hexab8988

11241864 has 48 divisors (see below), whose sum is σ = 30642300. Its totient is φ = 3723264.

The previous prime is 11241859. The next prime is 11241887. The reversal of 11241864 is 46814211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11168964 + 72900 = 3342^2 + 270^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13492 + ... + 14300.

Almost surely, 211241864 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 11241864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15321150).

11241864 is an abundant number, since it is smaller than the sum of its proper divisors (19400436).

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

11241864 is a wasteful number, since it uses less digits than its factorization.

11241864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1007 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 11241864 is about 3352.8889036173. Note that the first 3 decimals coincide. The cubic root of 11241864 is about 224.0162084360.

The spelling of 11241864 in words is "eleven million, two hundred forty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 772 809 1158 1544 1618 1737 2316 2427 3236 3474 4632 4854 6472 6948 7281 9708 13896 14562 19416 29124 58248 156137 312274 468411 624548 936822 1249096 1405233 1873644 2810466 3747288 5620932 11241864