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13277430 = 2325151977
BaseRepresentation
bin110010101001…
…100011110110
3220222120012200
4302221203312
511344334210
61152325330
7220566465
oct62514366
926876180
1013277430
117549591
124543846
13299b58a
141a989dc
1512740c0
hexca98f6

13277430 has 48 divisors (see below), whose sum is σ = 34785504. Its totient is φ = 3513600.

The previous prime is 13277351. The next prime is 13277437. The reversal of 13277430 is 3477231.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13277394 and 13277403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13277437) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13102 + ... + 14078.

It is an arithmetic number, because the mean of its divisors is an integer number (724698).

Almost surely, 213277430 is an apocalyptic number.

13277430 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 13277430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17392752).

13277430 is an abundant number, since it is smaller than the sum of its proper divisors (21508074).

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

13277430 is a wasteful number, since it uses less digits than its factorization.

13277430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 13277430 is about 3643.8207969108. The cubic root of 13277430 is about 236.7943523999.

The spelling of 13277430 in words is "thirteen million, two hundred seventy-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 151 302 453 755 906 977 1359 1510 1954 2265 2718 2931 4530 4885 5862 6795 8793 9770 13590 14655 17586 29310 43965 87930 147527 295054 442581 737635 885162 1327743 1475270 2212905 2655486 4425810 6638715 13277430