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14124420 = 22325131599
BaseRepresentation
bin110101111000…
…010110000100
3222120121001200
4311320112010
512103440140
61222422500
7231025032
oct65702604
928517050
1014124420
117a77982
124891a30
132c06c5b
141c39552
151390030
hexd78584

14124420 has 72 divisors (see below), whose sum is σ = 43243200. Its totient is φ = 3731520.

The previous prime is 14124419. The next prime is 14124469. The reversal of 14124420 is 2442141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14124393 and 14124402.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 23281 + ... + 23879.

It is an arithmetic number, because the mean of its divisors is an integer number (600600).

Almost surely, 214124420 is an apocalyptic number.

14124420 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 14124420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621600).

14124420 is an abundant number, since it is smaller than the sum of its proper divisors (29118780).

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

14124420 is a wasteful number, since it uses less digits than its factorization.

14124420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 14124420 is about 3758.2469317489. The cubic root of 14124420 is about 241.7260976836.

Adding to 14124420 its reverse (2442141), we get a palindrome (16566561).

It can be divided in two parts, 1412 and 4420, that added together give a cube (5832 = 183).

The spelling of 14124420 in words is "fourteen million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 599 655 786 1179 1198 1310 1572 1797 1965 2358 2396 2620 2995 3594 3930 4716 5391 5895 5990 7188 7860 8985 10782 11790 11980 17970 21564 23580 26955 35940 53910 78469 107820 156938 235407 313876 392345 470814 706221 784690 941628 1177035 1412442 1569380 2354070 2824884 3531105 4708140 7062210 14124420