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13883076 = 2238232
BaseRepresentation
bin110100111101…
…011011000100
3222010100000000
4310331123010
512023224301
61213321300
7226001304
oct64753304
928110000
1013883076
117922619
124796230
132b5114c
141bb5604
151343786
hexd3d6c4

13883076 has 81 divisors (see below), whose sum is σ = 38094511. Its totient is φ = 4426488.

The previous prime is 13883057. The next prime is 13883119. The reversal of 13883076 is 67038831.

13883076 = 1782 + 1792 + ... + 3612.

The square root of 13883076 is 3726.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (81).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13883076.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 603601 + ... + 603623.

Almost surely, 213883076 is an apocalyptic number.

13883076 is the 3726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13883076

13883076 is an abundant number, since it is smaller than the sum of its proper divisors (24211435).

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

13883076 is an frugal number, since it uses more digits than its factorization.

13883076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The cubic root of 13883076 is about 240.3413891591.

Multiplying 13883076 by its sum of digits (36), we get a square (499790736 = 223562).

13883076 divided by its sum of digits (36) gives a square (385641 = 6212).

The spelling of 13883076 in words is "thirteen million, eight hundred eighty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 529 621 729 828 972 1058 1242 1458 1587 1863 2116 2187 2484 2916 3174 3726 4374 4761 5589 6348 6561 7452 8748 9522 11178 13122 14283 16767 19044 22356 26244 28566 33534 42849 50301 57132 67068 85698 100602 128547 150903 171396 201204 257094 301806 385641 514188 603612 771282 1156923 1542564 2313846 3470769 4627692 6941538 13883076