Search a number
-
+
898460640 = 253357113773
BaseRepresentation
bin110101100011010…
…110101111100000
32022121121112022000
4311203112233200
53320001220030
6225053044000
731156534530
oct6543265740
92277545260
10898460640
11421180860
12210a86600
131141a7b1c
14874794c0
1553d25860
hex358d6be0

898460640 has 768 divisors, whose sum is σ = 4081674240. Its totient is φ = 179159040.

The previous prime is 898460639. The next prime is 898460653. The reversal of 898460640 is 46064898.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12307644 + ... + 12307716.

It is an arithmetic number, because the mean of its divisors is an integer number (5314680).

Almost surely, 2898460640 is an apocalyptic number.

898460640 is a gapful number since it is divisible by the number (80) 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 898460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040837120).

898460640 is an abundant number, since it is smaller than the sum of its proper divisors (3183213600).

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

898460640 is a wasteful number, since it uses less digits than its factorization.

898460640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 898460640 is about 29974.3330201024. Note that the first 3 decimals coincide. The cubic root of 898460640 is about 964.9386127917.

The spelling of 898460640 in words is "eight hundred ninety-eight million, four hundred sixty thousand, six hundred forty".