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13720440 = 2335432659
BaseRepresentation
bin110100010101…
…101101111000
3221211001220110
4310111231320
512003023230
61210024320
7224423166
oct64255570
927731813
1013720440
117821408
1247180a0
132ac5106
141b72236
1513104b0
hexd15b78

13720440 has 64 divisors (see below), whose sum is σ = 42134400. Its totient is φ = 3572352.

The previous prime is 13720439. The next prime is 13720463. The reversal of 13720440 is 4402731.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3831 + ... + 6489.

It is an arithmetic number, because the mean of its divisors is an integer number (658350).

Almost surely, 213720440 is an apocalyptic number.

13720440 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 13720440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21067200).

13720440 is an abundant number, since it is smaller than the sum of its proper divisors (28413960).

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

13720440 is a wasteful number, since it uses less digits than its factorization.

13720440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 13720440 is about 3704.1112294314. Note that the first 3 decimals coincide. The cubic root of 13720440 is about 239.3991916551.

The spelling of 13720440 in words is "thirteen million, seven hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 2659 5160 5318 7977 10636 13295 15954 21272 26590 31908 39885 53180 63816 79770 106360 114337 159540 228674 319080 343011 457348 571685 686022 914696 1143370 1372044 1715055 2286740 2744088 3430110 4573480 6860220 13720440