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860133120 = 28357112909
BaseRepresentation
bin110011010001001…
…001011100000000
32012221111021211020
4303101021130000
53230143224440
6221203345440
730213003510
oct6321113400
92187437736
10860133120
11401582820
12200082280
13109278612
148233d840
15507a43d0
hex33449700

860133120 has 288 divisors, whose sum is σ = 3426071040. Its totient is φ = 178667520.

The previous prime is 860133107. The next prime is 860133163. The reversal of 860133120 is 21331068.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294226 + ... + 297134.

It is an arithmetic number, because the mean of its divisors is an integer number (11896080).

Almost surely, 2860133120 is an apocalyptic number.

860133120 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 860133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713035520).

860133120 is an abundant number, since it is smaller than the sum of its proper divisors (2565937920).

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

860133120 is a wasteful number, since it uses less digits than its factorization.

860133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 860133120 is about 29328.0261865677. The cubic root of 860133120 is about 951.0176058023.

Adding to 860133120 its reverse (21331068), we get a palindrome (881464188).

The spelling of 860133120 in words is "eight hundred sixty million, one hundred thirty-three thousand, one hundred twenty".