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13671900 = 223252111381
BaseRepresentation
bin110100001001…
…110111011100
3221201121022200
4310021313130
512000000100
61205011500
7224131524
oct64116734
927647280
1013671900
1177989a0
1246b3b90
132aa8ca8
141b5c684
151300e00
hexd09ddc

13671900 has 108 divisors (see below), whose sum is σ = 46783464. Its totient is φ = 3312000.

The previous prime is 13671883. The next prime is 13671919. The reversal of 13671900 is 917631.

It is a super-2 number, since 2×136719002 = 373841699220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 9210 + ... + 10590.

Almost surely, 213671900 is an apocalyptic number.

13671900 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 13671900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23391732).

13671900 is an abundant number, since it is smaller than the sum of its proper divisors (33111564).

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

13671900 is a wasteful number, since it uses less digits than its factorization.

13671900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 13671900 is about 3697.5532450527. The cubic root of 13671900 is about 239.1165435936.

The spelling of 13671900 in words is "thirteen million, six hundred seventy-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1381 1650 1980 2475 2762 3300 4143 4950 5524 6905 8286 9900 12429 13810 15191 16572 20715 24858 27620 30382 34525 41430 45573 49716 60764 62145 69050 75955 82860 91146 103575 124290 136719 138100 151910 182292 207150 227865 248580 273438 303820 310725 379775 414300 455730 546876 621450 683595 759550 911460 1139325 1242900 1367190 1519100 2278650 2734380 3417975 4557300 6835950 13671900