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11422260 = 22325233189
BaseRepresentation
bin101011100100…
…101000110100
3210111022101200
4223210220310
510411003020
61044452500
7166042023
oct53445064
923438350
1011422260
1164a1793
1239aa130
13249c045
1417348ba
151009590
hexae4a34

11422260 has 144 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 2787840.

The previous prime is 11422247. The next prime is 11422261. The reversal of 11422260 is 6222411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11422261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128296 + ... + 128384.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 211422260 is an apocalyptic number.

11422260 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 11422260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

11422260 is an abundant number, since it is smaller than the sum of its proper divisors (26317260).

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

11422260 is a wasteful number, since it uses less digits than its factorization.

11422260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 11422260 is about 3379.6834171265. The cubic root of 11422260 is about 225.2081037606.

Adding to 11422260 its reverse (6222411), we get a palindrome (17644671).

The spelling of 11422260 in words is "eleven million, four hundred twenty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 31 36 45 46 60 62 69 89 90 92 93 115 124 138 155 178 180 186 207 230 267 276 279 310 345 356 372 414 445 460 465 534 558 620 690 713 801 828 890 930 1035 1068 1116 1335 1380 1395 1426 1602 1780 1860 2047 2070 2139 2670 2759 2790 2852 3204 3565 4005 4094 4140 4278 5340 5518 5580 6141 6417 7130 8010 8188 8277 8556 10235 10695 11036 12282 12834 13795 14260 16020 16554 18423 20470 21390 24564 24831 25668 27590 30705 32085 33108 36846 40940 41385 42780 49662 55180 61410 63457 64170 73692 82770 92115 99324 122820 124155 126914 128340 165540 184230 190371 248310 253828 317285 368460 380742 496620 571113 634570 761484 951855 1142226 1269140 1903710 2284452 2855565 3807420 5711130 11422260