Search a number
-
+
420453000 = 2332531131137
BaseRepresentation
bin11001000011111…
…001101010001000
31002022011020002100
4121003321222020
51330113444000
6105415433400
713263535332
oct3103715210
91068136070
10420453000
111a6375620
12b8985860
1369152c76
143dbaa452
1526da3a00
hex190f9a88

420453000 has 384 divisors, whose sum is σ = 1612016640. Its totient is φ = 97920000.

The previous prime is 420452953. The next prime is 420453013. The reversal of 420453000 is 354024.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3068932 + ... + 3069068.

It is an arithmetic number, because the mean of its divisors is an integer number (4197960).

Almost surely, 2420453000 is an apocalyptic number.

420453000 is a gapful number since it is divisible by the number (40) 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 420453000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806008320).

420453000 is an abundant number, since it is smaller than the sum of its proper divisors (1191563640).

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

420453000 is a wasteful number, since it uses less digits than its factorization.

420453000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 420453000 is about 20504.9506217401. The cubic root of 420453000 is about 749.1563847736.

The spelling of 420453000 in words is "four hundred twenty million, four hundred fifty-three thousand".