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1124136 = 2332131201
BaseRepresentation
bin100010010011100101000
32010010000200
410102130220
5241433021
640032200
712361236
oct4223450
92103020
101124136
116a8642
12462660
13304890
14213956
15173126
hex112728

1124136 has 48 divisors (see below), whose sum is σ = 3281460. Its totient is φ = 345600.

The previous prime is 1124131. The next prime is 1124141. The reversal of 1124136 is 6314211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1124131) and next prime (1124141).

It can be written as a sum of positive squares in 2 ways, for example, as 799236 + 324900 = 894^2 + 570^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (1124131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336 + ... + 1536.

21124136 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 1124136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640730).

1124136 is an abundant number, since it is smaller than the sum of its proper divisors (2157324).

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

1124136 is a wasteful number, since it uses less digits than its factorization.

1124136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1219 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1124136 is about 1060.2528000435. The cubic root of 1124136 is about 103.9775592607.

Adding to 1124136 its reverse (6314211), we get a palindrome (7438347).

The spelling of 1124136 in words is "one million, one hundred twenty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1201 2402 3603 4804 7206 9608 10809 14412 15613 21618 28824 31226 43236 46839 62452 86472 93678 124904 140517 187356 281034 374712 562068 1124136