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14000100 = 22352232029
BaseRepresentation
bin110101011001…
…111111100100
3222100021112020
4311121333210
512041000400
61220023140
7226666422
oct65317744
928307466
1014000100
1179a2534
124831ab0
132b924aa
141c06112
1513682a0
hexd59fe4

14000100 has 72 divisors (see below), whose sum is σ = 42288960. Its totient is φ = 3569280.

The previous prime is 14000089. The next prime is 14000141. The reversal of 14000100 is 100041.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 5886 + ... + 7914.

Almost surely, 214000100 is an apocalyptic number.

14000100 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 14000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21144480).

14000100 is an abundant number, since it is smaller than the sum of its proper divisors (28288860).

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

14000100 is a wasteful number, since it uses less digits than its factorization.

14000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 14000100 is about 3741.6707498122. The cubic root of 14000100 is about 241.0148002596.

Adding to 14000100 its reverse (100041), we get a palindrome (14100141).

The spelling of 14000100 in words is "fourteen million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2029 2300 3450 4058 6087 6900 8116 10145 12174 20290 24348 30435 40580 46667 50725 60870 93334 101450 121740 140001 152175 186668 202900 233335 280002 304350 466670 560004 608700 700005 933340 1166675 1400010 2333350 2800020 3500025 4666700 7000050 14000100