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11492740 = 2257103797
BaseRepresentation
bin101011110101…
…110110000100
3210121220002001
4223311312010
510420231430
61050155044
7166454350
oct53656604
923556061
1011492740
11653a736
123a22a84
1324c514c
141752460
1510203ca
hexaf5d84

11492740 has 48 divisors (see below), whose sum is σ = 27885312. Its totient is φ = 3897216.

The previous prime is 11492737. The next prime is 11492743. The reversal of 11492740 is 4729411.

It is an interprime number because it is at equal distance from previous prime (11492737) and next prime (11492743).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 11492699 and 11492708.

It is not an unprimeable number, because it can be changed into a prime (11492743) 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, 14022 + ... + 14818.

It is an arithmetic number, because the mean of its divisors is an integer number (580944).

Almost surely, 211492740 is an apocalyptic number.

11492740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11492740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942656).

11492740 is an abundant number, since it is smaller than the sum of its proper divisors (16392572).

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

11492740 is a wasteful number, since it uses less digits than its factorization.

11492740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 11492740 is about 3390.0943939660. The cubic root of 11492740 is about 225.6703628835.

The spelling of 11492740 in words is "eleven million, four hundred ninety-two thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 797 1030 1442 1594 2060 2884 3188 3605 3985 5579 7210 7970 11158 14420 15940 22316 27895 55790 82091 111580 164182 328364 410455 574637 820910 1149274 1641820 2298548 2873185 5746370 11492740