Search a number
-
+
13915760 = 245473701
BaseRepresentation
bin110101000101…
…011001110000
3222011222211112
4311011121300
512030301020
61214132452
7226165505
oct65053160
928158745
1013915760
117945131
1247b1128
132b62ca1
141bc34ac
15134d2c5
hexd45670

13915760 has 40 divisors (see below), whose sum is σ = 33051456. Its totient is φ = 5446400.

The previous prime is 13915757. The next prime is 13915763. The reversal of 13915760 is 6751931.

It is an interprime number because it is at equal distance from previous prime (13915757) and next prime (13915763).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13915763) 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 7 ways as a sum of consecutive naturals, for example, 1910 + ... + 5610.

Almost surely, 213915760 is an apocalyptic number.

13915760 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 13915760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16525728).

13915760 is an abundant number, since it is smaller than the sum of its proper divisors (19135696).

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

13915760 is a wasteful number, since it uses less digits than its factorization.

13915760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 13915760 is about 3730.3833583159. The cubic root of 13915760 is about 240.5298479127.

The spelling of 13915760 in words is "thirteen million, nine hundred fifteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3701 3760 7402 14804 18505 29608 37010 59216 74020 148040 173947 296080 347894 695788 869735 1391576 1739470 2783152 3478940 6957880 13915760