Search a number
-
+
14457400 = 235272287
BaseRepresentation
bin110111001001…
…101000111000
31000012111211021
4313021220320
512200114100
61233512224
7233612566
oct67115070
930174737
1014457400
118185071
124a12674
132cc2699
141cc4a36
151408a1a
hexdc9a38

14457400 has 24 divisors (see below), whose sum is σ = 33613920. Its totient is φ = 5782880.

The previous prime is 14457383. The next prime is 14457407. The reversal of 14457400 is 475441.

14457400 is digitally balanced in base 2, because in such base 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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14457407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35944 + ... + 36343.

It is an arithmetic number, because the mean of its divisors is an integer number (1400580).

Almost surely, 214457400 is an apocalyptic number.

14457400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14457400 is an abundant number, since it is smaller than the sum of its proper divisors (19156520).

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

14457400 is a wasteful number, since it uses less digits than its factorization.

14457400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72303 (or 72294 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 14457400 is about 3802.2887844034. The cubic root of 14457400 is about 243.6109090305.

It can be divided in two parts, 1445 and 7400, that multiplied together give a triangular number (10693000 = T4624).

The spelling of 14457400 in words is "fourteen million, four hundred fifty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 72287 144574 289148 361435 578296 722870 1445740 1807175 2891480 3614350 7228700 14457400