Search a number
-
+
2398106880 = 283251367239
BaseRepresentation
bin1000111011110000…
…0011010100000000
320012010110110012100
42032330003110000
514402403410010
61033543430400
7113266400151
oct21674032400
96163413170
102398106880
11102073a214
1256b155400
132c2aa5070
1418a6c9928
15e08002c0
hex8ef03500

2398106880 has 432 divisors, whose sum is σ = 9106755840. Its totient is φ = 579059712.

The previous prime is 2398106839. The next prime is 2398106899. The reversal of 2398106880 is 886018932.

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 47 ways as a sum of consecutive naturals, for example, 10033801 + ... + 10034039.

Almost surely, 22398106880 is an apocalyptic number.

2398106880 is a gapful number since it is divisible by the number (20) 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 2398106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553377920).

2398106880 is an abundant number, since it is smaller than the sum of its proper divisors (6708648960).

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

2398106880 is a wasteful number, since it uses less digits than its factorization.

2398106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2398106880 is about 48970.4694688544. The cubic root of 2398106880 is about 1338.5137750887.

It can be divided in two parts, 2398 and 106880, that added together give a triangular number (109278 = T467).

The spelling of 2398106880 in words is "two billion, three hundred ninety-eight million, one hundred six thousand, eight hundred eighty".