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13689450 = 23252291049
BaseRepresentation
bin110100001110…
…001001101010
3221202111101200
4310032021222
512001030300
61205225030
7224233635
oct64161152
927674350
1013689450
1178000a5
124702176
132ab3c88
141b64c1c
151306200
hexd0e26a

13689450 has 72 divisors (see below), whose sum is σ = 38083500. Its totient is φ = 3521280.

The previous prime is 13689433. The next prime is 13689461. The reversal of 13689450 is 5498631.

It can be written as a sum of positive squares in 6 ways, for example, as 8311689 + 5377761 = 2883^2 + 2319^2 .

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 35 ways as a sum of consecutive naturals, for example, 12526 + ... + 13574.

Almost surely, 213689450 is an apocalyptic number.

13689450 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 13689450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19041750).

13689450 is an abundant number, since it is smaller than the sum of its proper divisors (24394050).

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

13689450 is a wasteful number, since it uses less digits than its factorization.

13689450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13689450 is about 3699.9256749292. The cubic root of 13689450 is about 239.2188142120.

The spelling of 13689450 in words is "thirteen million, six hundred eighty-nine thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 725 870 1049 1305 1450 2098 2175 2610 3147 4350 5245 6294 6525 9441 10490 13050 15735 18882 26225 30421 31470 47205 52450 60842 78675 91263 94410 152105 157350 182526 236025 273789 304210 456315 472050 547578 760525 912630 1368945 1521050 2281575 2737890 4563150 6844725 13689450