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13719940 = 2251352769
BaseRepresentation
bin110100010101…
…100110000100
3221211001012221
4310111212010
512003014230
61210022124
7224421553
oct64254604
927731187
1013719940
117820aa3
124717944
132ac4b10
141b71d9a
15131027a
hexd15984

13719940 has 24 divisors (see below), whose sum is σ = 31028760. Its totient is φ = 5065728.

The previous prime is 13719913. The next prime is 13719947. The reversal of 13719940 is 4991731.

It can be written as a sum of positive squares in 4 ways, for example, as 324 + 13719616 = 18^2 + 3704^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13719896 and 13719905.

It is not an unprimeable number, because it can be changed into a prime (13719947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26125 + ... + 26644.

It is an arithmetic number, because the mean of its divisors is an integer number (1292865).

Almost surely, 213719940 is an apocalyptic number.

13719940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13719940 is an abundant number, since it is smaller than the sum of its proper divisors (17308820).

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

13719940 is a wasteful number, since it uses less digits than its factorization.

13719940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52791 (or 52789 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The square root of 13719940 is about 3704.0437362429. The cubic root of 13719940 is about 239.3962835595.

It can be divided in two parts, 1371 and 9940, that added together give a palindrome (11311).

The spelling of 13719940 in words is "thirteen million, seven hundred nineteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 52769 105538 211076 263845 527690 685997 1055380 1371994 2743988 3429985 6859970 13719940