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13194640 = 2452371101
BaseRepresentation
bin110010010101…
…010110010000
3220211100122101
4302111112100
511334212030
61150450144
7220103224
oct62252620
926740571
1013194640
1174a2368
124503954
13296c9a4
141a76784
1512597ca
hexc95590

13194640 has 80 divisors (see below), whose sum is σ = 32783616. Its totient is φ = 4928000.

The previous prime is 13194611. The next prime is 13194641. The reversal of 13194640 is 4649131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13194599 and 13194608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13194641) 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, 130590 + ... + 130690.

Almost surely, 213194640 is an apocalyptic number.

13194640 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 13194640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16391808).

13194640 is an abundant number, since it is smaller than the sum of its proper divisors (19588976).

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

13194640 is a wasteful number, since it uses less digits than its factorization.

13194640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 13194640 is about 3632.4427042969. The cubic root of 13194640 is about 236.3011572354.

The spelling of 13194640 in words is "thirteen million, one hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 71 80 92 101 115 142 184 202 230 284 355 368 404 460 505 568 710 808 920 1010 1136 1420 1616 1633 1840 2020 2323 2840 3266 4040 4646 5680 6532 7171 8080 8165 9292 11615 13064 14342 16330 18584 23230 26128 28684 32660 35855 37168 46460 57368 65320 71710 92920 114736 130640 143420 164933 185840 286840 329866 573680 659732 824665 1319464 1649330 2638928 3298660 6597320 13194640