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1052665440 = 25352193053
BaseRepresentation
bin111110101111100…
…110011001100000
32201100202221111220
4332233212121200
54123440243230
6252242135040
735041336311
oct7657463140
92640687456
101052665440
114a0225142
12254651480
1313a119878
149db3a608
1562635d10
hex3ebe6660

1052665440 has 48 divisors (see below), whose sum is σ = 3315897648. Its totient is φ = 280710656.

The previous prime is 1052665423. The next prime is 1052665457. The reversal of 1052665440 is 445662501.

It is an interprime number because it is at equal distance from previous prime (1052665423) and next prime (1052665457).

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

It is a super-2 number, since 2×10526654402 = 2216209057140787200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1096047 + ... + 1097006.

It is an arithmetic number, because the mean of its divisors is an integer number (69081201).

Almost surely, 21052665440 is an apocalyptic number.

1052665440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052665440 is an abundant number, since it is smaller than the sum of its proper divisors (2263232208).

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

1052665440 is a wasteful number, since it uses less digits than its factorization.

1052665440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193071 (or 2193063 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 1052665440 is about 32444.8060558235. The cubic root of 1052665440 is about 1017.2556756507.

The spelling of 1052665440 in words is "one billion, fifty-two million, six hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2193053 4386106 6579159 8772212 10965265 13158318 17544424 21930530 26316636 32895795 35088848 43861060 52633272 65791590 70177696 87722120 105266544 131583180 175444240 210533088 263166360 350888480 526332720 1052665440