Search a number
-
+
1113138 = 232136771
BaseRepresentation
bin100001111110000110010
32002112221100
410033300302
5241110023
635505230
712314205
oct4176062
92075840
101113138
116a0354
12458216
132cc880
1420d93c
1516ec43
hex10fc32

1113138 has 48 divisors (see below), whose sum is σ = 2673216. Its totient is φ = 332640.

The previous prime is 1113137. The next prime is 1113149. The reversal of 1113138 is 8313111.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1113138.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15643 + ... + 15713.

It is an arithmetic number, because the mean of its divisors is an integer number (55692).

21113138 is an apocalyptic number.

1113138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336608).

1113138 is an abundant number, since it is smaller than the sum of its proper divisors (1560078).

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

1113138 is a wasteful number, since it uses less digits than its factorization.

1113138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 156 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 1113138 is about 1055.0535531432. The cubic root of 1113138 is about 103.6373587582.

Adding to 1113138 its reverse (8313111), we get a palindrome (9426249).

It can be divided in two parts, 111 and 3138, that added together give a square (3249 = 572).

The spelling of 1113138 in words is "one million, one hundred thirteen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 67 71 78 117 134 142 201 213 234 402 426 603 639 871 923 1206 1278 1742 1846 2613 2769 4757 5226 5538 7839 8307 9514 14271 15678 16614 28542 42813 61841 85626 123682 185523 371046 556569 1113138