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13713900 = 22352172689
BaseRepresentation
bin110100010100…
…000111101100
3221210201221020
4310110013230
512002321100
61205534140
7224365134
oct64240754
927721836
1013713900
117817502
124714350
132ac2145
141b6dac4
15130d5a0
hexd141ec

13713900 has 72 divisors (see below), whose sum is σ = 42028560. Its totient is φ = 3440640.

The previous prime is 13713899. The next prime is 13713913. The reversal of 13713900 is 931731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3756 + ... + 6444.

It is an arithmetic number, because the mean of its divisors is an integer number (583730).

Almost surely, 213713900 is an apocalyptic number.

13713900 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 13713900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21014280).

13713900 is an abundant number, since it is smaller than the sum of its proper divisors (28314660).

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

13713900 is a wasteful number, since it uses less digits than its factorization.

13713900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 24.

The square root of 13713900 is about 3703.2283213434. The cubic root of 13713900 is about 239.3611481826.

The spelling of 13713900 in words is "thirteen million, seven hundred thirteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 2689 5100 5378 8067 10756 13445 16134 26890 32268 40335 45713 53780 67225 80670 91426 134450 137139 161340 182852 201675 228565 268900 274278 403350 457130 548556 685695 806700 914260 1142825 1371390 2285650 2742780 3428475 4571300 6856950 13713900