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2300139072 = 263371159293
BaseRepresentation
bin1000100100011001…
…0101011001000000
312221022010011122000
42021012111121000
514202313422242
61020123544000
7110666600550
oct21106253100
95838104560
102300139072
11a80406590
1254238b000
132a86c354a
1417b6a7160
15d6deca4c
hex89195640

2300139072 has 448 divisors, whose sum is σ = 8602675200. Its totient is φ = 585308160.

The previous prime is 2300139053. The next prime is 2300139113. The reversal of 2300139072 is 2709310032.

It is a tau number, because it is divible by the number of its divisors (448).

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

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 63 ways as a sum of consecutive naturals, for example, 7850158 + ... + 7850450.

It is an arithmetic number, because the mean of its divisors is an integer number (19202400).

Almost surely, 22300139072 is an apocalyptic number.

2300139072 is a gapful number since it is divisible by the number (22) 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 2300139072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301337600).

2300139072 is an abundant number, since it is smaller than the sum of its proper divisors (6302536128).

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

2300139072 is a wasteful number, since it uses less digits than its factorization.

2300139072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 2300139072 is about 47959.7651370396. The cubic root of 2300139072 is about 1320.0327264613.

The spelling of 2300139072 in words is "two billion, three hundred million, one hundred thirty-nine thousand, seventy-two".