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1068249375 = 3254232359
BaseRepresentation
bin111111101011000…
…011000100011111
32202110002200122200
4333223003010133
54141432440000
6254000142543
735320653444
oct7753030437
92673080580
101068249375
114a8aa9626
12259907a53
13140414c2b
14a1c359cb
1563bb3500
hex3fac311f

1068249375 has 90 divisors (see below), whose sum is σ = 2021259240. Its totient is φ = 543444000.

The previous prime is 1068249361. The next prime is 1068249379. The reversal of 1068249375 is 5739428601.

1068249375 is a `hidden beast` number, since 10 + 6 + 82 + 493 + 75 = 666.

1068249375 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1068249375 - 210 = 1068248351 is a prime.

It is a super-2 number, since 2×10682493752 = 2282313454375781250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

1068249375 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1068249375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068249379) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2975446 + ... + 2975804.

It is an arithmetic number, because the mean of its divisors is an integer number (22458436).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1068249375 = 2136498750, but 3⋅1068249375 = 3204748125 is not.

Almost surely, 21068249375 is an apocalyptic number.

1068249375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1068249375 is a deficient number, since it is larger than the sum of its proper divisors (953009865).

1068249375 is an equidigital number, since it uses as much as digits as its factorization.

1068249375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1068249375 is about 32684.0844295813. The cubic root of 1068249375 is about 1022.2510119206.

The spelling of 1068249375 in words is "one billion, sixty-eight million, two hundred forty-nine thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 125 207 225 345 359 375 529 575 625 1035 1077 1125 1587 1725 1795 1875 2645 2875 3231 4761 5175 5385 5625 7935 8257 8625 8975 13225 14375 16155 23805 24771 25875 26925 39675 41285 43125 44875 66125 74313 80775 119025 123855 129375 134625 189911 198375 206425 224375 330625 371565 403875 569733 595125 619275 673125 949555 991875 1032125 1709199 1857825 2019375 2848665 2975625 3096375 4747775 5160625 8545995 9289125 14243325 15481875 23738875 42729975 46445625 71216625 118694375 213649875 356083125 1068249375