Search a number
-
+
1069842375 = 32537731861
BaseRepresentation
bin111111110001000…
…111111111000111
32202120002121211200
4333301013333013
54142334424000
6254054233543
735340336660
oct7761077707
92676077750
101069842375
114a9997458
1225a3558b3
13140852034
14a212c367
1563dca500
hex3fc47fc7

1069842375 has 96 divisors (see below), whose sum is σ = 2235472512. Its totient is φ = 482112000.

The previous prime is 1069842353. The next prime is 1069842377. The reversal of 1069842375 is 5732489601.

1069842375 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 1069842375 - 210 = 1069841351 is a prime.

It is a super-2 number, since 2×10698423752 = 2289125414691281250, which contains 22 as substring.

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

1069842375 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 1069842375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1069842377) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 573945 + ... + 575805.

It is an arithmetic number, because the mean of its divisors is an integer number (23286172).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1069842375 = 2139684750, but 3⋅1069842375 = 3209527125 is not.

Almost surely, 21069842375 is an apocalyptic number.

1069842375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1069842375 is an abundant number, since it is smaller than the sum of its proper divisors (1165630137).

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

1069842375 is a wasteful number, since it uses less digits than its factorization.

1069842375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1949 counting only the distinct ones).

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

The square root of 1069842375 is about 32708.4450104251. The cubic root of 1069842375 is about 1022.7588949145.

The spelling of 1069842375 in words is "one billion, sixty-nine million, eight hundred forty-two thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 73 75 105 125 175 219 225 315 365 375 511 525 657 875 1095 1125 1533 1575 1825 1861 2555 2625 3285 4599 5475 5583 7665 7875 9125 9305 12775 13027 16425 16749 22995 27375 27915 38325 39081 46525 63875 65135 82125 83745 114975 117243 135853 139575 191625 195405 232625 325675 407559 418725 574875 586215 679265 697875 950971 977025 1222677 1628375 2037795 2093625 2852913 2931075 3396325 4754855 4885125 6113385 8558739 10188975 14264565 14655375 16981625 23774275 30566925 42793695 50944875 71322825 118871375 152834625 213968475 356614125 1069842375