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11428340 = 22571141181
BaseRepresentation
bin101011100110…
…000111110100
3210111121201212
4223212013310
510411201330
61044540552
7166065530
oct53460764
923447655
1011428340
1164a6310
1239b1758
1324a1a41
141736bc0
15100b295
hexae61f4

11428340 has 96 divisors (see below), whose sum is σ = 30820608. Its totient is φ = 3456000.

The previous prime is 11428331. The next prime is 11428343. The reversal of 11428340 is 4382411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11428343) 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 31 ways as a sum of consecutive naturals, for example, 63050 + ... + 63230.

It is an arithmetic number, because the mean of its divisors is an integer number (321048).

Almost surely, 211428340 is an apocalyptic number.

11428340 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 11428340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410304).

11428340 is an abundant number, since it is smaller than the sum of its proper divisors (19392268).

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

11428340 is a wasteful number, since it uses less digits than its factorization.

11428340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 11428340 is about 3380.5827899935. The cubic root of 11428340 is about 225.2480556438.

The spelling of 11428340 in words is "eleven million, four hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 41 44 55 70 77 82 110 140 154 164 181 205 220 287 308 362 385 410 451 574 724 770 820 902 905 1148 1267 1435 1540 1804 1810 1991 2255 2534 2870 3157 3620 3982 4510 5068 5740 6314 6335 7421 7964 9020 9955 12628 12670 13937 14842 15785 19910 25340 27874 29684 31570 37105 39820 51947 55748 63140 69685 74210 81631 103894 139370 148420 163262 207788 259735 278740 326524 408155 519470 571417 816310 1038940 1142834 1632620 2285668 2857085 5714170 11428340