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13982550 = 235231297
BaseRepresentation
bin110101010101…
…101101010110
3222022101110020
4311111231112
512034420200
61215410010
7226564311
oct65255526
928271406
1013982550
11799032a
124823906
132b874ca
141bdd978
151362ea0
hexd55b56

13982550 has 72 divisors (see below), whose sum is σ = 36200808. Its totient is φ = 3571200.

The previous prime is 13982543. The next prime is 13982557. The reversal of 13982550 is 5528931.

It is an interprime number because it is at equal distance from previous prime (13982543) and next prime (13982557).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13982557) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144102 + ... + 144198.

It is an arithmetic number, because the mean of its divisors is an integer number (502789).

Almost surely, 213982550 is an apocalyptic number.

13982550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13982550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18100404).

13982550 is an abundant number, since it is smaller than the sum of its proper divisors (22218258).

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

13982550 is a wasteful number, since it uses less digits than its factorization.

13982550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 13982550 is about 3739.3248053626. The cubic root of 13982550 is about 240.9140491121.

The spelling of 13982550 in words is "thirteen million, nine hundred eighty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 97 150 155 186 194 291 310 465 485 582 775 930 961 970 1455 1550 1922 2325 2425 2883 2910 3007 4650 4805 4850 5766 6014 7275 9021 9610 14415 14550 15035 18042 24025 28830 30070 45105 48050 72075 75175 90210 93217 144150 150350 186434 225525 279651 451050 466085 559302 932170 1398255 2330425 2796510 4660850 6991275 13982550