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1052640096 = 25313278263
BaseRepresentation
bin111110101111100…
…000001101100000
32201100201122202020
4332233200031200
54123433440341
6252241421440
735041202364
oct7657401540
92640648666
101052640096
114a02080a2
1225463a880
1313a10b181
149db312a4
156262d566
hex3ebe0360

1052640096 has 48 divisors (see below), whose sum is σ = 2765597184. Its totient is φ = 350573184.

The previous prime is 1052640091. The next prime is 1052640101. The reversal of 1052640096 is 6900462501.

1052640096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1052640091) and next prime (1052640101).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10526400962 = 2216102343413778432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052640091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123261 + ... + 131523.

It is an arithmetic number, because the mean of its divisors is an integer number (57616608).

Almost surely, 21052640096 is an apocalyptic number.

1052640096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1052640096 is an abundant number, since it is smaller than the sum of its proper divisors (1712957088).

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

1052640096 is a wasteful number, since it uses less digits than its factorization.

1052640096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9603 (or 9595 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1052640096 is about 32444.4154824833. The cubic root of 1052640096 is about 1017.2475117607.

The spelling of 1052640096 in words is "one billion, fifty-two million, six hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1327 2654 3981 5308 7962 8263 10616 15924 16526 21232 24789 31848 33052 42464 49578 63696 66104 99156 127392 132208 198312 264416 396624 793248 10965001 21930002 32895003 43860004 65790006 87720008 131580012 175440016 263160024 350880032 526320048 1052640096