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2423100960 = 253357211447
BaseRepresentation
bin1001000001101101…
…1001011000100000
320020212111021122000
42100123121120200
514430303212320
61040235244000
7114022006200
oct22033313040
96225437560
102423100960
111033860685
125775a9600
132c8016667
1418db54400
15e2adac90
hex906d9620

2423100960 has 288 divisors, whose sum is σ = 9866344320. Its totient is φ = 553803264.

The previous prime is 2423100949. The next prime is 2423100961. The reversal of 2423100960 is 690013242.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2423100961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205957 + ... + 217403.

It is an arithmetic number, because the mean of its divisors is an integer number (34258140).

Almost surely, 22423100960 is an apocalyptic number.

2423100960 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 2423100960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933172160).

2423100960 is an abundant number, since it is smaller than the sum of its proper divisors (7443243360).

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

2423100960 is a wasteful number, since it uses less digits than its factorization.

2423100960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11485 (or 11464 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2423100960 is about 49225.0034027424. The cubic root of 2423100960 is about 1343.1478973769.

The spelling of 2423100960 in words is "two billion, four hundred twenty-three million, one hundred thousand, nine hundred sixty".