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2023912128 = 26373121567
BaseRepresentation
bin111100010100010…
…0111001011000000
312020001100101111110
41320220213023000
513121110142003
6532455243320
7101103653310
oct17050471300
95201311443
102023912128
1194949a157
12485979540
132633ca354
14152b21440
15bca37a03
hex78a272c0

2023912128 has 168 divisors, whose sum is σ = 6327745536. Its totient is φ = 559249920.

The previous prime is 2023912127. The next prime is 2023912181. The reversal of 2023912128 is 8212193202.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 2023912095 and 2023912104.

It is not an unprimeable number, because it can be changed into a prime (2023912123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1290801 + ... + 1292367.

It is an arithmetic number, because the mean of its divisors is an integer number (37665152).

Almost surely, 22023912128 is an apocalyptic number.

2023912128 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 2023912128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163872768).

2023912128 is an abundant number, since it is smaller than the sum of its proper divisors (4303833408).

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

2023912128 is a wasteful number, since it uses less digits than its factorization.

2023912128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2023912128 is about 44987.9109094877. The cubic root of 2023912128 is about 1264.9224026099.

The spelling of 2023912128 in words is "two billion, twenty-three million, nine hundred twelve thousand, one hundred twenty-eight".