Search a number
-
+
1890217420 = 22571317199307
BaseRepresentation
bin111000010101010…
…0110110111001100
311212201202222211121
41300222212313030
512332343424140
6511321530324
764561403650
oct16052466714
94781688747
101890217420
1188aa84363
124490439a4
132417b9c60
1413d07ca60
15b0e2964a
hex70aa6dcc

1890217420 has 192 divisors, whose sum is σ = 5215795200. Its totient is φ = 558379008.

The previous prime is 1890217391. The next prime is 1890217421. The reversal of 1890217420 is 247120981.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (1890217421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6156907 + ... + 6157213.

It is an arithmetic number, because the mean of its divisors is an integer number (27165600).

Almost surely, 21890217420 is an apocalyptic number.

1890217420 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 1890217420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607897600).

1890217420 is an abundant number, since it is smaller than the sum of its proper divisors (3325577780).

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

1890217420 is a wasteful number, since it uses less digits than its factorization.

1890217420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 1890217420 is about 43476.6307342232. The cubic root of 1890217420 is about 1236.4329981697.

The spelling of 1890217420 in words is "one billion, eight hundred ninety million, two hundred seventeen thousand, four hundred twenty".