Search a number
-
+
13356840 = 2335715901
BaseRepresentation
bin110010111100…
…111100101000
3221010121010210
4302330330220
511404404330
61154141120
7221350140
oct62747450
927117123
1013356840
1175a3212
1245817a0
1329c8773
141ab9920
15128c8b0
hexcbcf28

13356840 has 64 divisors (see below), whose sum is σ = 45797760. Its totient is φ = 3052800.

The previous prime is 13356839. The next prime is 13356869. The reversal of 13356840 is 4865331.

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 = 13356798 and 13356807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7111 + ... + 8790.

It is an arithmetic number, because the mean of its divisors is an integer number (715590).

Almost surely, 213356840 is an apocalyptic number.

13356840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13356840 is an abundant number, since it is smaller than the sum of its proper divisors (32440920).

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

13356840 is a wasteful number, since it uses less digits than its factorization.

13356840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15922 (or 15918 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 13356840 is about 3654.7010821680. The cubic root of 13356840 is about 237.2654896629.

It can be divided in two parts, 13356 and 840, that added together give a triangular number (14196 = T168).

The spelling of 13356840 in words is "thirteen million, three hundred fifty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 15901 31802 47703 63604 79505 95406 111307 127208 159010 190812 222614 238515 318020 333921 381624 445228 477030 556535 636040 667842 890456 954060 1113070 1335684 1669605 1908120 2226140 2671368 3339210 4452280 6678420 13356840