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11714144 = 251329971
BaseRepresentation
bin101100101011…
…111001100000
3211001010210012
4230223321200
510444323034
61055024052
7201366011
oct54537140
924033705
1011714144
116681012
123b0b028
132571b60
1417ad008
151065cce
hexb2be60

11714144 has 48 divisors (see below), whose sum is σ = 25719120. Its totient is φ = 5214720.

The previous prime is 11714141. The next prime is 11714147. The reversal of 11714144 is 44141711.

11714144 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 (11714141) and next prime (11714147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11714141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11579 + ... + 12549.

It is an arithmetic number, because the mean of its divisors is an integer number (535815).

Almost surely, 211714144 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 11714144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12859560).

11714144 is an abundant number, since it is smaller than the sum of its proper divisors (14004976).

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

11714144 is a wasteful number, since it uses less digits than its factorization.

11714144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1015 counting only the distinct ones).

The product of its digits is 448, while the sum is 23.

The square root of 11714144 is about 3422.5931689291. The cubic root of 11714144 is about 227.1103114223.

Adding to 11714144 its reverse (44141711), we get a palindrome (55855855).

The spelling of 11714144 in words is "eleven million, seven hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 971 1508 1942 3016 3884 6032 7768 12064 12623 15536 25246 28159 31072 50492 56318 100984 112636 201968 225272 366067 403936 450544 732134 901088 1464268 2928536 5857072 11714144