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13944420 = 22335721731
BaseRepresentation
bin110101001100…
…011001100100
3222020110011000
4311030121210
512032210140
61214513300
7226345200
oct65143144
928213130
1013944420
117964716
124805830
132b73049
141bcdb00
151356a30
hexd4c664

13944420 has 288 divisors, whose sum is σ = 55157760. Its totient is φ = 2903040.

The previous prime is 13944407. The next prime is 13944439. The reversal of 13944420 is 2444931.

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

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 95 ways as a sum of consecutive naturals, for example, 449805 + ... + 449835.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 213944420 is an apocalyptic number.

13944420 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 13944420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27578880).

13944420 is an abundant number, since it is smaller than the sum of its proper divisors (41213340).

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

13944420 is a wasteful number, since it uses less digits than its factorization.

13944420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13944420 is about 3734.2228107064. Note that the first 3 decimals coincide. The cubic root of 13944420 is about 240.6948612577.

The spelling of 13944420 in words is "thirteen million, nine hundred forty-four thousand, four hundred twenty".