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1075959378 = 232138355399
BaseRepresentation
bin100000000100001…
…1101011001010010
32202222121101210100
41000020131121102
54200421200003
6254433313230
735443334544
oct10010353122
92688541710
101075959378
1150239522a
12260405816
13141bb4370
14a2c81694
15646d7ba3
hex4021d652

1075959378 has 48 divisors (see below), whose sum is σ = 2540865600. Its totient is φ = 327069792.

The previous prime is 1075959331. The next prime is 1075959403. The reversal of 1075959378 is 8739595701.

1075959378 is a `hidden beast` number, since 10 + 7 + 595 + 9 + 37 + 8 = 666.

It is a super-2 number, since 2×10759593782 = 2315377166212293768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 8278 + ... + 47121.

It is an arithmetic number, because the mean of its divisors is an integer number (52934700).

Almost surely, 21075959378 is an apocalyptic number.

1075959378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1075959378 is an abundant number, since it is smaller than the sum of its proper divisors (1464906222).

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

1075959378 is a wasteful number, since it uses less digits than its factorization.

1075959378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55503 (or 55500 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The square root of 1075959378 is about 32801.8197361061. The cubic root of 1075959378 is about 1024.7044566924.

The spelling of 1075959378 in words is "one billion, seventy-five million, nine hundred fifty-nine thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 83 117 166 234 249 498 747 1079 1494 2158 3237 6474 9711 19422 55399 110798 166197 332394 498591 720187 997182 1440374 2160561 4321122 4598117 6481683 9196234 12963366 13794351 27588702 41383053 59775521 82766106 119551042 179326563 358653126 537979689 1075959378