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13946780 = 2253747401
BaseRepresentation
bin110101001100…
…111110011100
3222020120101102
4311030332130
512032244110
61214532232
7226355111
oct65147634
928216342
1013946780
117966471
124807078
132b74143
141bd0908
1513575a5
hexd4cf9c

13946780 has 48 divisors (see below), whose sum is σ = 30796416. Its totient is φ = 5299200.

The previous prime is 13946773. The next prime is 13946789. The reversal of 13946780 is 8764931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13946789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34580 + ... + 34980.

It is an arithmetic number, because the mean of its divisors is an integer number (641592).

Almost surely, 213946780 is an apocalyptic number.

13946780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13946780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15398208).

13946780 is an abundant number, since it is smaller than the sum of its proper divisors (16849636).

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

13946780 is a wasteful number, since it uses less digits than its factorization.

13946780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 13946780 is about 3734.5387934791. The cubic root of 13946780 is about 240.7084391580.

The spelling of 13946780 in words is "thirteen million, nine hundred forty-six thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 37 47 74 94 148 185 188 235 370 401 470 740 802 940 1604 1739 2005 3478 4010 6956 8020 8695 14837 17390 18847 29674 34780 37694 59348 74185 75388 94235 148370 188470 296740 376940 697339 1394678 2789356 3486695 6973390 13946780