Search a number
-
+
13365840 = 243555691
BaseRepresentation
bin110010111111…
…001001010000
3221011001111010
4302333021100
511410201330
61154250520
7221415315
oct62771120
927131433
1013365840
1175a9a54
124586a40
1329cc8a7
141abcd0c
1512903b0
hexcbf250

13365840 has 40 divisors (see below), whose sum is σ = 41434848. Its totient is φ = 3564160.

The previous prime is 13365817. The next prime is 13365883. The reversal of 13365840 is 4856331.

13365840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 13365798 and 13365807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27606 + ... + 28085.

Almost surely, 213365840 is an apocalyptic number.

13365840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13365840 is an abundant number, since it is smaller than the sum of its proper divisors (28069008).

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

13365840 is a wasteful number, since it uses less digits than its factorization.

13365840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55707 (or 55701 counting only the distinct ones).

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

The square root of 13365840 is about 3655.9321656727. The cubic root of 13365840 is about 237.3187684816.

The spelling of 13365840 in words is "thirteen million, three hundred sixty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 55691 111382 167073 222764 278455 334146 445528 556910 668292 835365 891056 1113820 1336584 1670730 2227640 2673168 3341460 4455280 6682920 13365840