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13843920 = 2435371559
BaseRepresentation
bin110100110011…
…110111010000
3222001100021210
4310303313100
512021001140
61212420120
7225446166
oct64636720
928040253
1013843920
1178a6162
124777640
132b3938c
141ba5236
151336d80
hexd33dd0

13843920 has 80 divisors (see below), whose sum is σ = 44104320. Its totient is φ = 3589632.

The previous prime is 13843919. The next prime is 13843943. The reversal of 13843920 is 2934831.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 8101 + ... + 9659.

It is an arithmetic number, because the mean of its divisors is an integer number (551304).

Almost surely, 213843920 is an apocalyptic number.

13843920 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 13843920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22052160).

13843920 is an abundant number, since it is smaller than the sum of its proper divisors (30260400).

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

13843920 is a wasteful number, since it uses less digits than its factorization.

13843920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 13843920 is about 3720.7418615110. The cubic root of 13843920 is about 240.1152224514.

The spelling of 13843920 in words is "thirteen million, eight hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1559 1776 2220 2960 3118 4440 4677 6236 7795 8880 9354 12472 15590 18708 23385 24944 31180 37416 46770 57683 62360 74832 93540 115366 124720 173049 187080 230732 288415 346098 374160 461464 576830 692196 865245 922928 1153660 1384392 1730490 2307320 2768784 3460980 4614640 6921960 13843920