Search a number
-
+
1890602208 = 25351123312
BaseRepresentation
bin111000010110000…
…0100110011100000
311212202111112200000
41300230010303200
512332443232313
6511334100000
764564565535
oct16054046340
94782445600
101890602208
11890217470
124491aa600
132418c3141
1413d13cd8c
15b0ea3673
hex70b04ce0

1890602208 has 432 divisors, whose sum is σ = 6558185088. Its totient is φ = 530323200.

The previous prime is 1890602179. The next prime is 1890602227. The reversal of 1890602208 is 8022060981.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60987153 + ... + 60987183.

It is an arithmetic number, because the mean of its divisors is an integer number (15180984).

Almost surely, 21890602208 is an apocalyptic number.

1890602208 is a gapful number since it is divisible by the number (18) 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 1890602208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279092544).

1890602208 is an abundant number, since it is smaller than the sum of its proper divisors (4667582880).

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

1890602208 is a wasteful number, since it uses less digits than its factorization.

1890602208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1890602208 is about 43481.0557369528. The cubic root of 1890602208 is about 1236.5168919228.

The spelling of 1890602208 in words is "one billion, eight hundred ninety million, six hundred two thousand, two hundred eight".