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13720413 = 3719137251
BaseRepresentation
bin110100010101…
…101101011101
3221211001212110
4310111231131
512003023123
61210024233
7224423130
oct64255535
927731773
1013720413
117821393
124718079
132ac50b5
141b72217
151310493
hexd15b5d

13720413 has 32 divisors (see below), whose sum is σ = 22256640. Its totient is φ = 7344000.

The previous prime is 13720409. The next prime is 13720417. The reversal of 13720413 is 31402731.

It is an interprime number because it is at equal distance from previous prime (13720409) and next prime (13720417).

It is not a de Polignac number, because 13720413 - 22 = 13720409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13720413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13720417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54538 + ... + 54788.

It is an arithmetic number, because the mean of its divisors is an integer number (695520).

Almost surely, 213720413 is an apocalyptic number.

It is an amenable number.

13720413 is a deficient number, since it is larger than the sum of its proper divisors (8536227).

13720413 is a wasteful number, since it uses less digits than its factorization.

13720413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 13720413 is about 3704.1075848307. The cubic root of 13720413 is about 239.3990346197.

The spelling of 13720413 in words is "thirteen million, seven hundred twenty thousand, four hundred thirteen".

Divisors: 1 3 7 19 21 57 133 137 251 399 411 753 959 1757 2603 2877 4769 5271 7809 14307 18221 33383 34387 54663 100149 103161 240709 653353 722127 1960059 4573471 13720413