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1052064720 = 243357174093
BaseRepresentation
bin111110101101010…
…011101111010000
32201022122102111000
4332231103233100
54123312032340
6252221222000
735033255040
oct7655235720
92638572430
101052064720
1149a954883
12254401900
13139c69305
149da21720
1562567d30
hex3eb53bd0

1052064720 has 320 divisors, whose sum is σ = 4386147840. Its totient is φ = 226271232.

The previous prime is 1052064719. The next prime is 1052064721. The reversal of 1052064720 is 274602501.

1052064720 is a `hidden beast` number, since 10 + 5 + 2 + 0 + 647 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1052064719) and next prime (1052064721).

It is a super-2 number, since 2×10520647202 = 2213680350137356800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052064721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 254994 + ... + 259086.

It is an arithmetic number, because the mean of its divisors is an integer number (13706712).

Almost surely, 21052064720 is an apocalyptic number.

1052064720 is a gapful number since it is divisible by the number (10) 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 1052064720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193073920).

1052064720 is an abundant number, since it is smaller than the sum of its proper divisors (3334083120).

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

1052064720 is a wasteful number, since it uses less digits than its factorization.

1052064720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1052064720 is about 32435.5471666504. The cubic root of 1052064720 is about 1017.0621345423.

The spelling of 1052064720 in words is "one billion, fifty-two million, sixty-four thousand, seven hundred twenty".