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13795950 = 2352721877
BaseRepresentation
bin110100101000…
…001001101110
3221221220111010
4310220021232
512012432300
61211410050
7225156300
oct64501156
927856433
1013795950
117873113
124753926
132b205ac
141b91970
151327a50
hexd2826e

13795950 has 72 divisors (see below), whose sum is σ = 39821112. Its totient is φ = 3151680.

The previous prime is 13795937. The next prime is 13795987. The reversal of 13795950 is 5959731.

It is a junction number, because it is equal to n+sod(n) for n = 13795899 and 13795908.

It is a congruent number.

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, 6412 + ... + 8288.

It is an arithmetic number, because the mean of its divisors is an integer number (553071).

Almost surely, 213795950 is an apocalyptic number.

13795950 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 13795950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19910556).

13795950 is an abundant number, since it is smaller than the sum of its proper divisors (26025162).

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

13795950 is a wasteful number, since it uses less digits than its factorization.

13795950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 42525, while the sum is 39.

The square root of 13795950 is about 3714.2899725250. The cubic root of 13795950 is about 239.8375636961.

The spelling of 13795950 in words is "thirteen million, seven hundred ninety-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 147 150 175 210 245 294 350 490 525 735 1050 1225 1470 1877 2450 3675 3754 5631 7350 9385 11262 13139 18770 26278 28155 39417 46925 56310 65695 78834 91973 93850 131390 140775 183946 197085 275919 281550 328475 394170 459865 551838 656950 919730 985425 1379595 1970850 2299325 2759190 4598650 6897975 13795950