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14010420 = 2235376311
BaseRepresentation
bin110101011100…
…100000110100
3222100210200110
4311130200310
512041313140
61220143020
7230041464
oct65344064
928323613
1014010420
1179aa266
124837a70
132b970b8
141c09ba4
15136b380
hexd5c834

14010420 has 48 divisors (see below), whose sum is σ = 40295808. Its totient is φ = 3634560.

The previous prime is 14010407. The next prime is 14010433. The reversal of 14010420 is 2401041.

It is an interprime number because it is at equal distance from previous prime (14010407) and next prime (14010433).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 14010396 and 14010405.

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 15 ways as a sum of consecutive naturals, for example, 936 + ... + 5375.

It is an arithmetic number, because the mean of its divisors is an integer number (839496).

Almost surely, 214010420 is an apocalyptic number.

14010420 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 14010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20147904).

14010420 is an abundant number, since it is smaller than the sum of its proper divisors (26285388).

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

14010420 is a wasteful number, since it uses less digits than its factorization.

14010420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6360 (or 6358 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 14010420 is about 3743.0495588490. The cubic root of 14010420 is about 241.0740060708.

Adding to 14010420 its reverse (2401041), we get a palindrome (16411461).

The spelling of 14010420 in words is "fourteen million, ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 6311 12622 18933 25244 31555 37866 63110 75732 94665 126220 189330 233507 378660 467014 700521 934028 1167535 1401042 2335070 2802084 3502605 4670140 7005210 14010420