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11420040 = 2335591613
BaseRepresentation
bin101011100100…
…000110001000
3210111012100110
4223210012020
510410420130
61044434320
7166032402
oct53440610
923435313
1011420040
1164a0055
1239a89a0
13249b028
141733b72
151008ab0
hexae4188

11420040 has 64 divisors (see below), whose sum is σ = 34862400. Its totient is φ = 2991872.

The previous prime is 11420027. The next prime is 11420041. The reversal of 11420040 is 4002411.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11419998 and 11420025.

It is not an unprimeable number, because it can be changed into a prime (11420041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6274 + ... + 7886.

It is an arithmetic number, because the mean of its divisors is an integer number (544725).

Almost surely, 211420040 is an apocalyptic number.

11420040 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 11420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17431200).

11420040 is an abundant number, since it is smaller than the sum of its proper divisors (23442360).

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

11420040 is a wasteful number, since it uses less digits than its factorization.

11420040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 11420040 is about 3379.3549680375. The cubic root of 11420040 is about 225.1935125331.

Adding to 11420040 its reverse (4002411), we get a palindrome (15422451).

The spelling of 11420040 in words is "eleven million, four hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1613 1770 2360 3226 3540 4839 6452 7080 8065 9678 12904 16130 19356 24195 32260 38712 48390 64520 95167 96780 190334 193560 285501 380668 475835 571002 761336 951670 1142004 1427505 1903340 2284008 2855010 3806680 5710020 11420040