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13455780 = 22351321327
BaseRepresentation
bin110011010101…
…000110100100
3221022121212020
4303111012210
511421041110
61200223140
7222241452
oct63250644
927277766
1013455780
117660588
12460aab0
132a31800
141b039d2
1512abd70
hexcd51a4

13455780 has 72 divisors (see below), whose sum is σ = 40828032. Its totient is φ = 3309696.

The previous prime is 13455779. The next prime is 13455787. The reversal of 13455780 is 8755431.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13455787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9477 + ... + 10803.

It is an arithmetic number, because the mean of its divisors is an integer number (567056).

Almost surely, 213455780 is an apocalyptic number.

13455780 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 13455780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20414016).

13455780 is an abundant number, since it is smaller than the sum of its proper divisors (27372252).

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

13455780 is a wasteful number, since it uses less digits than its factorization.

13455780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 13455780 is about 3668.2120985570. The cubic root of 13455780 is about 237.8498924001.

The spelling of 13455780 in words is "thirteen million, four hundred fifty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1327 1690 2028 2535 2654 3380 3981 5070 5308 6635 7962 10140 13270 15924 17251 19905 26540 34502 39810 51753 69004 79620 86255 103506 172510 207012 224263 258765 345020 448526 517530 672789 897052 1035060 1121315 1345578 2242630 2691156 3363945 4485260 6727890 13455780