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13714100 = 2252294729
BaseRepresentation
bin110100010100…
…001010110100
3221210202012122
4310110022310
512002322400
61205535112
7224365541
oct64241264
927722178
1013714100
117817674
124714498
132ac226a
141b6dbc8
15130d685
hexd142b4

13714100 has 36 divisors (see below), whose sum is σ = 30792300. Its totient is φ = 5295360.

The previous prime is 13714097. The next prime is 13714139. The reversal of 13714100 is 141731.

13714100 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 6 ways, for example, as 2598544 + 11115556 = 1612^2 + 3334^2 .

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, 536 + ... + 5264.

Almost surely, 213714100 is an apocalyptic number.

13714100 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 13714100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15396150).

13714100 is an abundant number, since it is smaller than the sum of its proper divisors (17078200).

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

13714100 is a wasteful number, since it uses less digits than its factorization.

13714100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4772 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 13714100 is about 3703.2553247109. The cubic root of 13714100 is about 239.3623117708.

Adding to 13714100 its reverse (141731), we get a palindrome (13855831).

The spelling of 13714100 in words is "thirteen million, seven hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 4729 9458 18916 23645 47290 94580 118225 137141 236450 274282 472900 548564 685705 1371410 2742820 3428525 6857050 13714100