Search a number
-
+
453045780 = 223251133161
BaseRepresentation
bin11011000000001…
…110111000010100
31011120111002222100
4123000032320110
51411434431110
6112542202100
714140553115
oct3300167024
91146432870
10453045780
11212807000
12107883330
1372b25135
144425220c
1529b90bc0
hex1b00ee14

453045780 has 288 divisors, whose sum is σ = 1585898496. Its totient is φ = 104544000.

The previous prime is 453045763. The next prime is 453045781. The reversal of 453045780 is 87540354.

453045780 is a `hidden beast` number, since 4 + 530 + 45 + 7 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (453045781) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7426950 + ... + 7427010.

It is an arithmetic number, because the mean of its divisors is an integer number (5506592).

Almost surely, 2453045780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453045780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792949248).

453045780 is an abundant number, since it is smaller than the sum of its proper divisors (1132852716).

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

453045780 is a wasteful number, since it uses less digits than its factorization.

453045780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 453045780 is about 21284.8720926389. The cubic root of 453045780 is about 768.0344426285.

The spelling of 453045780 in words is "four hundred fifty-three million, forty-five thousand, seven hundred eighty".