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13720476 = 22371131479
BaseRepresentation
bin110100010101…
…101110011100
3221211001221210
4310111232130
512003023401
61210024420
7224423250
oct64255634
927731853
1013720476
117821440
124718110
132ac5133
141b72260
1513104d6
hexd15b9c

13720476 has 96 divisors (see below), whose sum is σ = 41287680. Its totient is φ = 3441600.

The previous prime is 13720463. The next prime is 13720477. The reversal of 13720476 is 67402731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13720477) 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 31 ways as a sum of consecutive naturals, for example, 28405 + ... + 28883.

It is an arithmetic number, because the mean of its divisors is an integer number (430080).

Almost surely, 213720476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13720476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20643840).

13720476 is an abundant number, since it is smaller than the sum of its proper divisors (27567204).

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

13720476 is a wasteful number, since it uses less digits than its factorization.

13720476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 13720476 is about 3704.1160888935. The cubic root of 13720476 is about 239.3994010352.

It can be divided in two parts, 13720 and 476, that added together give a triangular number (14196 = T168).

The spelling of 13720476 in words is "thirteen million, seven hundred twenty thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 124 132 154 186 217 231 308 341 372 434 462 479 651 682 868 924 958 1023 1302 1364 1437 1916 2046 2387 2604 2874 3353 4092 4774 5269 5748 6706 7161 9548 10059 10538 13412 14322 14849 15807 20118 21076 28644 29698 31614 36883 40236 44547 59396 63228 73766 89094 103943 110649 147532 163339 178188 207886 221298 311829 326678 415772 442596 490017 623658 653356 980034 1143373 1247316 1960068 2286746 3430119 4573492 6860238 13720476