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5934108240 = 2432583109911
BaseRepresentation
bin1011000011011001…
…10100111001010000
3120022120001221011200
411201230310321100
544123112430430
62420500311200
7300024042054
oct54154647120
916276057150
105934108240
112575716395
1211973a2500
13737538168
14404179c64
1524ae6e460
hex161b34e50

5934108240 has 240 divisors, whose sum is σ = 20376195840. Its totient is φ = 1547320320.

The previous prime is 5934108239. The next prime is 5934108277. The reversal of 5934108240 is 428014395.

5934108240 is a `hidden beast` number, since 593 + 41 + 0 + 8 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5934108195 and 5934108204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6513385 + ... + 6514295.

It is an arithmetic number, because the mean of its divisors is an integer number (84900816).

Almost surely, 25934108240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5934108240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10188097920).

5934108240 is an abundant number, since it is smaller than the sum of its proper divisors (14442087600).

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

5934108240 is a wasteful number, since it uses less digits than its factorization.

5934108240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5934108240 is about 77033.1632480453. The cubic root of 5934108240 is about 1810.4442445066. Note that the first 3 decimals are identical.

The spelling of 5934108240 in words is "five billion, nine hundred thirty-four million, one hundred eight thousand, two hundred forty".