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13963480 = 235192967
BaseRepresentation
bin110101010001…
…000011011000
3222021102021221
4311101003120
512033312410
61215141424
7226454566
oct65210330
928242257
1013963480
117977a73
124814874
132b7b91b
141bd6a36
15135c4da
hexd510d8

13963480 has 48 divisors (see below), whose sum is σ = 33192720. Its totient is φ = 5285952.

The previous prime is 13963447. The next prime is 13963483. The reversal of 13963480 is 8436931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13963483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13957 + ... + 14923.

It is an arithmetic number, because the mean of its divisors is an integer number (691515).

Almost surely, 213963480 is an apocalyptic number.

13963480 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 13963480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16596360).

13963480 is an abundant number, since it is smaller than the sum of its proper divisors (19229240).

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

13963480 is a wasteful number, since it uses less digits than its factorization.

13963480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 13963480 is about 3736.7740097576. The cubic root of 13963480 is about 240.8044763207.

The spelling of 13963480 in words is "thirteen million, nine hundred sixty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 967 1444 1805 1934 2888 3610 3868 4835 7220 7736 9670 14440 18373 19340 36746 38680 73492 91865 146984 183730 349087 367460 698174 734920 1396348 1745435 2792696 3490870 6981740 13963480