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13322540 = 22571141211
BaseRepresentation
bin110010110100…
…100100101100
3221001212002102
4302310210230
511402310130
61153314232
7221145140
oct62644454
927055072
1013322540
11757a470
124565978
1329b5c7a
141aab220
151282645
hexcb492c

13322540 has 96 divisors (see below), whose sum is σ = 35900928. Its totient is φ = 4032000.

The previous prime is 13322539. The next prime is 13322563. The reversal of 13322540 is 4522331.

It is a happy number.

13322540 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 63035 + ... + 63245.

It is an arithmetic number, because the mean of its divisors is an integer number (373968).

Almost surely, 213322540 is an apocalyptic number.

13322540 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 13322540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17950464).

13322540 is an abundant number, since it is smaller than the sum of its proper divisors (22578388).

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

13322540 is a wasteful number, since it uses less digits than its factorization.

13322540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 13322540 is about 3650.0054794479. The cubic root of 13322540 is about 237.0622184680.

Adding to 13322540 its reverse (4522331), we get a palindrome (17844871).

The spelling of 13322540 in words is "thirteen million, three hundred twenty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 41 44 55 70 77 82 110 140 154 164 205 211 220 287 308 385 410 422 451 574 770 820 844 902 1055 1148 1435 1477 1540 1804 2110 2255 2321 2870 2954 3157 4220 4510 4642 5740 5908 6314 7385 8651 9020 9284 11605 12628 14770 15785 16247 17302 23210 29540 31570 32494 34604 43255 46420 60557 63140 64988 81235 86510 95161 121114 162470 173020 190322 242228 302785 324940 380644 475805 605570 666127 951610 1211140 1332254 1903220 2664508 3330635 6661270 13322540