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13968388 = 2273797139
BaseRepresentation
bin110101010010…
…010000000100
3222021200000201
4311102100010
512033442023
61215220244
7226505110
oct65222004
928250021
1013968388
117980725
124817684
132b80c25
141bd8740
15135dbad
hexd52404

13968388 has 48 divisors (see below), whose sum is σ = 29196160. Its totient is φ = 5723136.

The previous prime is 13968379. The next prime is 13968389. The reversal of 13968388 is 88386931.

It is not an unprimeable number, because it can be changed into a prime (13968389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100423 + ... + 100561.

Almost surely, 213968388 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 13968388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14598080).

13968388 is an abundant number, since it is smaller than the sum of its proper divisors (15227772).

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

13968388 is a wasteful number, since it uses less digits than its factorization.

13968388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 282 counting only the distinct ones).

The product of its digits is 248832, while the sum is 46.

The square root of 13968388 is about 3737.4306682533. The cubic root of 13968388 is about 240.8326863353.

It can be divided in two parts, 13968 and 388, that multiplied together give a square (5419584 = 23282).

The spelling of 13968388 in words is "thirteen million, nine hundred sixty-eight thousand, three hundred eighty-eight".

Divisors: 1 2 4 7 14 28 37 74 97 139 148 194 259 278 388 518 556 679 973 1036 1358 1946 2716 3589 3892 5143 7178 10286 13483 14356 20572 25123 26966 36001 50246 53932 72002 94381 100492 144004 188762 377524 498871 997742 1995484 3492097 6984194 13968388