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14100040 = 2353183137
BaseRepresentation
bin110101110010…
…011001001000
3222112100121201
4311302121020
512102200130
61222113544
7230563663
oct65623110
928470551
1014100040
117a60629
12487b8b4
132bc8b26
141c306da
151387bca
hexd72648

14100040 has 64 divisors (see below), whose sum is σ = 33384960. Its totient is φ = 5352960.

The previous prime is 14099993. The next prime is 14100041. The reversal of 14100040 is 4000141.

It is a super-2 number, since 2×141000402 = 397622256003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (14100041) by changing a digit.

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, 102852 + ... + 102988.

It is an arithmetic number, because the mean of its divisors is an integer number (521640).

Almost surely, 214100040 is an apocalyptic number.

14100040 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 14100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16692480).

14100040 is an abundant number, since it is smaller than the sum of its proper divisors (19284920).

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

14100040 is a wasteful number, since it uses less digits than its factorization.

14100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 14100040 is about 3755.0019973364. The cubic root of 14100040 is about 241.5869373666.

Adding to 14100040 its reverse (4000141), we get a palindrome (18100181).

The spelling of 14100040 in words is "fourteen million, one hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 83 124 137 155 166 248 274 310 332 415 548 620 664 685 830 1096 1240 1370 1660 2573 2740 3320 4247 5146 5480 8494 10292 11371 12865 16988 20584 21235 22742 25730 33976 42470 45484 51460 56855 84940 90968 102920 113710 169880 227420 352501 454840 705002 1410004 1762505 2820008 3525010 7050020 14100040