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5654064240 = 24325112331039
BaseRepresentation
bin1010100010000001…
…00010110001110000
3112121001010020000200
411101000202301300
543034420023430
62333014115200
7260053516206
oct52100426160
915531106020
105654064240
112441632170
12111964bb00
136c1506756
143b8cbd076
152315a3460
hex151022c70

5654064240 has 240 divisors, whose sum is σ = 21615759360. Its totient is φ = 1311045120.

The previous prime is 5654064211. The next prime is 5654064277. The reversal of 5654064240 is 424604565.

5654064240 is a `hidden beast` number, since 5 + 6 + 5 + 4 + 0 + 642 + 4 + 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 = 5654064195 and 5654064204.

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 47 ways as a sum of consecutive naturals, for example, 166641 + ... + 197679.

It is an arithmetic number, because the mean of its divisors is an integer number (90065664).

Almost surely, 25654064240 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 5654064240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10807879680).

5654064240 is an abundant number, since it is smaller than the sum of its proper divisors (15961695120).

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

5654064240 is a wasteful number, since it uses less digits than its factorization.

5654064240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31092 (or 31083 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5654064240 is about 75193.5119541573. The cubic root of 5654064240 is about 1781.5044554678.

The spelling of 5654064240 in words is "five billion, six hundred fifty-four million, sixty-four thousand, two hundred forty".