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13414900 = 2252163823
BaseRepresentation
bin110011001011…
…000111110100
3221020112210011
4303023013310
511413234100
61155310004
7222011332
oct63130764
927215704
1013414900
1176328a4
1245ab304
132a19015
141ad2b52
15129ebba
hexccb1f4

13414900 has 36 divisors (see below), whose sum is σ = 29324512. Its totient is φ = 5326560.

The previous prime is 13414897. The next prime is 13414901. The reversal of 13414900 is 941431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15889 + ... + 16711.

Almost surely, 213414900 is an apocalyptic number.

13414900 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 13414900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14662256).

13414900 is an abundant number, since it is smaller than the sum of its proper divisors (15909612).

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

13414900 is a wasteful number, since it uses less digits than its factorization.

13414900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 13414900 is about 3662.6356630165. The cubic root of 13414900 is about 237.6087775026.

It can be divided in two parts, 1341 and 4900, that added together give a square (6241 = 792).

The spelling of 13414900 in words is "thirteen million, four hundred fourteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 815 823 1630 1646 3260 3292 4075 4115 8150 8230 16300 16460 20575 41150 82300 134149 268298 536596 670745 1341490 2682980 3353725 6707450 13414900