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14146900 = 2252193733
BaseRepresentation
bin110101111101…
…110101010100
3222121201220021
4311331311110
512110200100
61223114524
7231150415
oct65756524
928551807
1014146900
117a92859
1248a2a44
132c14261
141c4380c
151396a1a
hexd7dd54

14146900 has 36 divisors (see below), whose sum is σ = 30899932. Its totient is φ = 5621760.

The previous prime is 14146883. The next prime is 14146921. The reversal of 14146900 is 964141.

It can be written as a sum of positive squares in 6 ways, for example, as 24336 + 14122564 = 156^2 + 3758^2 .

It is a super-2 number, since 2×141469002 = 400269559220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18934 + ... + 19666.

Almost surely, 214146900 is an apocalyptic number.

14146900 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 14146900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15449966).

14146900 is an abundant number, since it is smaller than the sum of its proper divisors (16753032).

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

14146900 is a wasteful number, since it uses less digits than its factorization.

14146900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 14146900 is about 3761.2364988126. The cubic root of 14146900 is about 241.8542710259.

The spelling of 14146900 in words is "fourteen million, one hundred forty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 386 733 772 965 1466 1930 2932 3665 3860 4825 7330 9650 14660 18325 19300 36650 73300 141469 282938 565876 707345 1414690 2829380 3536725 7073450 14146900