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11428992 = 27333307
BaseRepresentation
bin101011100110…
…010010000000
3210111122122000
4223212102000
510411211432
61044544000
7166100451
oct53462200
923448560
1011428992
1164a6853
1239b2000
1324a2123
141737128
15100b57c
hexae6480

11428992 has 64 divisors (see below), whose sum is σ = 33741600. Its totient is φ = 3808512.

The previous prime is 11428969. The next prime is 11428993. The reversal of 11428992 is 29982411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11428993) 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, 1803 + ... + 5109.

Almost surely, 211428992 is an apocalyptic number.

11428992 is a gapful number since it is divisible by the number (12) 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 11428992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16870800).

11428992 is an abundant number, since it is smaller than the sum of its proper divisors (22312608).

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

11428992 is an equidigital number, since it uses as much as digits as its factorization.

11428992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3312 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 11428992 is about 3380.6792216950. The cubic root of 11428992 is about 225.2523391163.

The spelling of 11428992 in words is "eleven million, four hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3307 3456 6614 9921 13228 19842 26456 29763 39684 52912 59526 79368 89289 105824 119052 158736 178578 211648 238104 317472 357156 423296 476208 634944 714312 952416 1269888 1428624 1904832 2857248 3809664 5714496 11428992