Search a number
-
+
1445628870 = 2375721971
BaseRepresentation
bin101011000101010…
…1000101111000110
310201202012120000000
41112022220233012
510430040110440
6355240502130
750552433300
oct12612505706
93652176000
101445628870
11682024404
1234417a946
131a06663ca
14d9dcc970
1586da9730
hex562a8bc6

1445628870 has 384 divisors, whose sum is σ = 4846003200. Its totient is φ = 308629440.

The previous prime is 1445628841. The next prime is 1445628871. The reversal of 1445628870 is 788265441.

1445628870 is a `hidden beast` number, since 1 + 4 + 4 + 562 + 8 + 87 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1445628871) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20360935 + ... + 20361005.

It is an arithmetic number, because the mean of its divisors is an integer number (12619800).

Almost surely, 21445628870 is an apocalyptic number.

1445628870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445628870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423001600).

1445628870 is an abundant number, since it is smaller than the sum of its proper divisors (3400374330).

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

1445628870 is an equidigital number, since it uses as much as digits as its factorization.

1445628870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 1445628870 is about 38021.4264593006. The cubic root of 1445628870 is about 1130.7127020407.

The spelling of 1445628870 in words is "one billion, four hundred forty-five million, six hundred twenty-eight thousand, eight hundred seventy".