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13820544 = 27343143
BaseRepresentation
bin110100101110…
…001010000000
3222000011020000
4310232022000
512014224134
61212120000
7225321063
oct64561200
928004200
1013820544
11788a641
124766000
132b2b84a
141b9a8da
15132ee99
hexd2e280

13820544 has 160 divisors (see below), whose sum is σ = 43443840. Its totient is φ = 4354560.

The previous prime is 13820531. The next prime is 13820551. The reversal of 13820544 is 44502831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 321387 + ... + 321429.

It is an arithmetic number, because the mean of its divisors is an integer number (271524).

Almost surely, 213820544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13820544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21721920).

13820544 is an abundant number, since it is smaller than the sum of its proper divisors (29623296).

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

13820544 is an equidigital number, since it uses as much as digits as its factorization.

13820544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 13820544 is about 3717.5992253066. The cubic root of 13820544 is about 239.9799983331.

The spelling of 13820544 in words is "thirteen million, eight hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 43 48 54 62 64 72 81 86 93 96 108 124 128 129 144 162 172 186 192 216 248 258 279 288 324 344 372 384 387 432 496 516 558 576 648 688 744 774 837 864 992 1032 1116 1152 1161 1296 1333 1376 1488 1548 1674 1728 1984 2064 2232 2322 2511 2592 2666 2752 2976 3096 3348 3456 3483 3968 3999 4128 4464 4644 5022 5184 5332 5504 5952 6192 6696 6966 7998 8256 8928 9288 10044 10368 10664 11904 11997 12384 13392 13932 15996 16512 17856 18576 20088 21328 23994 24768 26784 27864 31992 35712 35991 37152 40176 42656 47988 49536 53568 55728 63984 71982 74304 80352 85312 95976 107136 107973 111456 127968 143964 148608 160704 170624 191952 215946 222912 255936 287928 321408 383904 431892 445824 511872 575856 767808 863784 1151712 1535616 1727568 2303424 3455136 4606848 6910272 13820544