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13455000 = 2332541323
BaseRepresentation
bin110011010100…
…111010011000
3221022120210100
4303110322120
511421030000
61200215400
7222236256
oct63247230
927276710
1013455000
11765aa39
12460a560
132a31350
141b035d6
1512aba00
hexcd4e98

13455000 has 240 divisors, whose sum is σ = 51171120. Its totient is φ = 3168000.

The previous prime is 13454999. The next prime is 13455017. The reversal of 13455000 is 55431.

13455000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 584989 + ... + 585011.

It is an arithmetic number, because the mean of its divisors is an integer number (213213).

Almost surely, 213455000 is an apocalyptic number.

13455000 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 13455000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25585560).

13455000 is an abundant number, since it is smaller than the sum of its proper divisors (37716120).

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

13455000 is a wasteful number, since it uses less digits than its factorization.

13455000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 13455000 is about 3668.1057781912. The cubic root of 13455000 is about 237.8452964445.

13455000 divided by its product of nonzero digits (300) gives a triangular number (44850 = T299).

The spelling of 13455000 in words is "thirteen million, four hundred fifty-five thousand".