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11427416 = 23711131427
BaseRepresentation
bin101011100101…
…111001011000
3210111120110122
4223211321120
510411134131
61044532412
7166063040
oct53457130
923446418
1011427416
1164a5650
1239b1108
1324a14b0
141736720
15100ad7b
hexae5e58

11427416 has 64 divisors (see below), whose sum is σ = 28788480. Its totient is φ = 4106880.

The previous prime is 11427401. The next prime is 11427419. The reversal of 11427416 is 61472411.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11427419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7295 + ... + 8721.

It is an arithmetic number, because the mean of its divisors is an integer number (449820).

Almost surely, 211427416 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 11427416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394240).

11427416 is an abundant number, since it is smaller than the sum of its proper divisors (17361064).

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

11427416 is a wasteful number, since it uses less digits than its factorization.

11427416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1460 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 11427416 is about 3380.4461244043. The cubic root of 11427416 is about 225.2419849222.

Adding to 11427416 its reverse (61472411), we get a palindrome (72899827).

It can be divided in two parts, 1142 and 7416, that added together give a palindrome (8558).

The spelling of 11427416 in words is "eleven million, four hundred twenty-seven thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 1427 2002 2854 4004 5708 8008 9989 11416 15697 18551 19978 31394 37102 39956 62788 74204 79912 109879 125576 129857 148408 204061 219758 259714 408122 439516 519428 816244 879032 1038856 1428427 1632488 2856854 5713708 11427416