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13394640 = 2435721767
BaseRepresentation
bin110011000110…
…001011010000
3221012111222210
4303012023100
511412112030
61155032120
7221565300
oct63061320
927174883
1013394640
117619656
12459b640
132a0ca2c
141ac9600
151298bb0
hexcc62d0

13394640 has 240 divisors, whose sum is σ = 51907392. Its totient is φ = 2838528.

The previous prime is 13394617. The next prime is 13394651. The reversal of 13394640 is 4649331.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13394598 and 13394607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199887 + ... + 199953.

Almost surely, 213394640 is an apocalyptic number.

13394640 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 13394640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25953696).

13394640 is an abundant number, since it is smaller than the sum of its proper divisors (38512752).

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

13394640 is a wasteful number, since it uses less digits than its factorization.

13394640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 13394640 is about 3659.8688501092. The cubic root of 13394640 is about 237.4891001461.

The spelling of 13394640 in words is "thirteen million, three hundred ninety-four thousand, six hundred forty".