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13746420 = 2232576369
BaseRepresentation
bin110100011100…
…000011110100
3221212101112200
4310130003310
512004341140
61210344500
7224562012
oct64340364
927771480
1013746420
117839986
12472b130
132b03b9c
141b7b8b2
151318030
hexd1c0f4

13746420 has 36 divisors (see below), whose sum is σ = 41698020. Its totient is φ = 3665664.

The previous prime is 13746409. The next prime is 13746427. The reversal of 13746420 is 2464731.

13746420 is a `hidden beast` number, since 13 + 7 + 4 + 642 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4235364 + 9511056 = 2058^2 + 3084^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13746427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38005 + ... + 38364.

Almost surely, 213746420 is an apocalyptic number.

13746420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13746420 is an abundant number, since it is smaller than the sum of its proper divisors (27951600).

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

13746420 is a wasteful number, since it uses less digits than its factorization.

13746420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76384 (or 76379 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 13746420 is about 3707.6164850211. The cubic root of 13746420 is about 239.5501991901.

The spelling of 13746420 in words is "thirteen million, seven hundred forty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 76369 152738 229107 305476 381845 458214 687321 763690 916428 1145535 1374642 1527380 2291070 2749284 3436605 4582140 6873210 13746420