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13775320 = 2351359449
BaseRepresentation
bin110100100011…
…000111011000
3221220212012001
4310203013120
512011302240
61211130344
7225042166
oct64430730
927825161
1013775320
117859669
1247439b4
132b140a0
141b88236
15132189a
hexd231d8

13775320 has 64 divisors (see below), whose sum is σ = 34020000. Its totient is φ = 4988928.

The previous prime is 13775291. The next prime is 13775327. The reversal of 13775320 is 2357731.

It is a super-2 number, since 2×137753202 = 379518882204800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13775327) 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 15 ways as a sum of consecutive naturals, for example, 30456 + ... + 30904.

Almost surely, 213775320 is an apocalyptic number.

13775320 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 13775320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17010000).

13775320 is an abundant number, since it is smaller than the sum of its proper divisors (20244680).

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

13775320 is a wasteful number, since it uses less digits than its factorization.

13775320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 28.

The square root of 13775320 is about 3711.5118213472. The cubic root of 13775320 is about 239.7179557128.

It can be divided in two parts, 137 and 75320, that added together give a palindrome (75457).

The spelling of 13775320 in words is "thirteen million, seven hundred seventy-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 59 65 104 118 130 236 260 295 449 472 520 590 767 898 1180 1534 1796 2245 2360 3068 3592 3835 4490 5837 6136 7670 8980 11674 15340 17960 23348 26491 29185 30680 46696 52982 58370 105964 116740 132455 211928 233480 264910 344383 529820 688766 1059640 1377532 1721915 2755064 3443830 6887660 13775320