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14420100 = 2235271677
BaseRepresentation
bin110111000000…
…100010000100
31000010121122210
4313000202010
512142420400
61233023420
7233366052
oct67004204
930117583
1014420100
11815a042
1249b4b70
132cab706
141cb51d2
1513ec950
hexdc0884

14420100 has 72 divisors (see below), whose sum is σ = 42372288. Its totient is φ = 3785600.

The previous prime is 14420099. The next prime is 14420111. The reversal of 14420100 is 102441.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20962 + ... + 21638.

It is an arithmetic number, because the mean of its divisors is an integer number (588504).

Almost surely, 214420100 is an apocalyptic number.

14420100 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 14420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21186144).

14420100 is an abundant number, since it is smaller than the sum of its proper divisors (27952188).

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

14420100 is a wasteful number, since it uses less digits than its factorization.

14420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 758 counting only the distinct ones).

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

The square root of 14420100 is about 3797.3806762030. The cubic root of 14420100 is about 243.4012237330.

Adding to 14420100 its reverse (102441), we get a palindrome (14522541).

The spelling of 14420100 in words is "fourteen million, four hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 677 710 852 1065 1354 1420 1775 2031 2130 2708 3385 3550 4062 4260 5325 6770 7100 8124 10155 10650 13540 16925 20310 21300 33850 40620 48067 50775 67700 96134 101550 144201 192268 203100 240335 288402 480670 576804 721005 961340 1201675 1442010 2403350 2884020 3605025 4806700 7210050 14420100