Search a number
-
+
13274040 = 23351367127
BaseRepresentation
bin110010101000…
…101110111000
3220222101120010
4302220232320
511344232130
61152301520
7220553553
oct62505670
926871503
1013274040
117546a8a
1245418a0
132999b80
141a9769a
1512730b0
hexca8bb8

13274040 has 128 divisors (see below), whose sum is σ = 43868160. Its totient is φ = 3193344.

The previous prime is 13274033. The next prime is 13274047. The reversal of 13274040 is 4047231.

13274040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13274033) and next prime (13274047).

It is a junction number, because it is equal to n+sod(n) for n = 13273998 and 13274016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13274047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104457 + ... + 104583.

It is an arithmetic number, because the mean of its divisors is an integer number (342720).

Almost surely, 213274040 is an apocalyptic number.

13274040 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 13274040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21934080).

13274040 is an abundant number, since it is smaller than the sum of its proper divisors (30594120).

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

13274040 is a wasteful number, since it uses less digits than its factorization.

13274040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 13274040 is about 3643.3555961503. The cubic root of 13274040 is about 236.7741978674.

The spelling of 13274040 in words is "thirteen million, two hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 67 78 104 120 127 130 134 156 195 201 254 260 268 312 335 381 390 402 508 520 536 635 670 762 780 804 871 1005 1016 1270 1340 1524 1560 1608 1651 1742 1905 2010 2540 2613 2680 3048 3302 3484 3810 4020 4355 4953 5080 5226 6604 6968 7620 8040 8255 8509 8710 9906 10452 13065 13208 15240 16510 17018 17420 19812 20904 24765 25527 26130 33020 34036 34840 39624 42545 49530 51054 52260 66040 68072 85090 99060 102108 104520 110617 127635 170180 198120 204216 221234 255270 331851 340360 442468 510540 553085 663702 884936 1021080 1106170 1327404 1659255 2212340 2654808 3318510 4424680 6637020 13274040