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13707760 = 2451137421
BaseRepresentation
bin110100010010…
…100111110000
3221210102111211
4310102213300
512002122020
61205445504
7224341213
oct64224760
927712454
1013707760
117812930
124710894
132abc401
141b6b77a
15130b85a
hexd129f0

13707760 has 80 divisors (see below), whose sum is σ = 35792352. Its totient is φ = 4838400.

The previous prime is 13707751. The next prime is 13707769. The reversal of 13707760 is 6770731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13707751) and next prime (13707769).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13707769) 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 15 ways as a sum of consecutive naturals, for example, 32350 + ... + 32770.

Almost surely, 213707760 is an apocalyptic number.

13707760 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 13707760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17896176).

13707760 is an abundant number, since it is smaller than the sum of its proper divisors (22084592).

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

13707760 is a wasteful number, since it uses less digits than its factorization.

13707760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 31.

The square root of 13707760 is about 3702.3992221261. The cubic root of 13707760 is about 239.3254205185.

The spelling of 13707760 in words is "thirteen million, seven hundred seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 148 176 185 220 296 370 407 421 440 592 740 814 842 880 1480 1628 1684 2035 2105 2960 3256 3368 4070 4210 4631 6512 6736 8140 8420 9262 15577 16280 16840 18524 23155 31154 32560 33680 37048 46310 62308 74096 77885 92620 124616 155770 171347 185240 249232 311540 342694 370480 623080 685388 856735 1246160 1370776 1713470 2741552 3426940 6853880 13707760