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11504142 = 23213211233
BaseRepresentation
bin101011111000…
…101000001110
3210122110201100
4223320220032
510421113032
61050323530
7166532526
oct53705016
923573640
1011504142
116548261
123a295a6
1324ca3b0
141756686
15102397c
hexaf8a0e

11504142 has 48 divisors (see below), whose sum is σ = 27085968. Its totient is φ = 3507840.

The previous prime is 11504137. The next prime is 11504147. The reversal of 11504142 is 24140511.

11504142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11504137) and next prime (11504147).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11504147) 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, 49258 + ... + 49490.

It is an arithmetic number, because the mean of its divisors is an integer number (564291).

Almost surely, 211504142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11504142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13542984).

11504142 is an abundant number, since it is smaller than the sum of its proper divisors (15581826).

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

11504142 is a wasteful number, since it uses less digits than its factorization.

11504142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 11504142 is about 3391.7756411650. The cubic root of 11504142 is about 225.7449677506.

Adding to 11504142 its reverse (24140511), we get a palindrome (35644653).

The spelling of 11504142 in words is "eleven million, five hundred four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 211 233 234 422 466 633 699 1266 1398 1899 2097 2743 3029 3798 4194 5486 6058 8229 9087 16458 18174 24687 27261 49163 49374 54522 98326 147489 294978 442467 639119 884934 1278238 1917357 3834714 5752071 11504142