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2024090068 = 22711132331709
BaseRepresentation
bin111100010100101…
…0010100111010100
312020001200102120211
41320221102213110
513121131340233
6532503135204
7101105324140
oct17051224724
95201612524
102024090068
11949600910
12485a44504
13263460340
14152b6a220
15bca705cd
hex78a529d4

2024090068 has 192 divisors, whose sum is σ = 5129994240. Its totient is φ = 672883200.

The previous prime is 2024090027. The next prime is 2024090071. The reversal of 2024090068 is 8600904202.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2854498 + ... + 2855206.

It is an arithmetic number, because the mean of its divisors is an integer number (26718720).

Almost surely, 22024090068 is an apocalyptic number.

2024090068 is a gapful number since it is divisible by the number (28) 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 2024090068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564997120).

2024090068 is an abundant number, since it is smaller than the sum of its proper divisors (3105904172).

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

2024090068 is a wasteful number, since it uses less digits than its factorization.

2024090068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2024090068 is about 44989.8885084193. Note that the first 3 decimals coincide. The cubic root of 2024090068 is about 1264.9594716923.

The spelling of 2024090068 in words is "two billion, twenty-four million, ninety thousand, sixty-eight".