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13730050 = 2521729557
BaseRepresentation
bin110100011000…
…000100000010
3221211120002101
4310120010002
512003330200
61210141014
7224463205
oct64300402
927746071
1013730050
117828654
12472176a
132ac95b9
141b7593c
15131326a
hexd18102

13730050 has 48 divisors (see below), whose sum is σ = 28022760. Its totient is φ = 4981760.

The previous prime is 13730047. The next prime is 13730053. The reversal of 13730050 is 5003731.

It is an interprime number because it is at equal distance from previous prime (13730047) and next prime (13730053).

It can be written as a sum of positive squares in 12 ways, for example, as 385641 + 13344409 = 621^2 + 3653^2 .

It is not an unprimeable number, because it can be changed into a prime (13730053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24372 + ... + 24928.

Almost surely, 213730050 is an apocalyptic number.

13730050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13730050 is an abundant number, since it is smaller than the sum of its proper divisors (14292710).

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

13730050 is a wasteful number, since it uses less digits than its factorization.

13730050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 13730050 is about 3705.4082096309. The cubic root of 13730050 is about 239.4550715275.

Adding to 13730050 its reverse (5003731), we get a palindrome (18733781).

The spelling of 13730050 in words is "thirteen million, seven hundred thirty thousand, fifty".

Divisors: 1 2 5 10 17 25 29 34 50 58 85 145 170 290 425 493 557 725 850 986 1114 1450 2465 2785 4930 5570 9469 12325 13925 16153 18938 24650 27850 32306 47345 80765 94690 161530 236725 274601 403825 473450 549202 807650 1373005 2746010 6865025 13730050