Search a number
-
+
1074328965 = 325239711069
BaseRepresentation
bin100000000001000…
…1111010110000101
32202212112120021200
41000002033112011
54200012011330
6254334333113
735423434263
oct10002172605
92685476250
101074328965
11501481286
1225b95a199
13141763218
14a2979433
15644b4a60
hex4008f585

1074328965 has 48 divisors (see below), whose sum is σ = 1946954880. Its totient is φ = 546986880.

The previous prime is 1074328949. The next prime is 1074328967. The reversal of 1074328965 is 5698234701.

1074328965 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 1074328965 - 24 = 1074328949 is a prime.

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

1074328965 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 1074328965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074328967) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1004451 + ... + 1005519.

It is an arithmetic number, because the mean of its divisors is an integer number (40561560).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1074328965 = 2148657930, but 3⋅1074328965 = 3222986895 is not.

Almost surely, 21074328965 is an apocalyptic number.

1074328965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1074328965 is a deficient number, since it is larger than the sum of its proper divisors (872625915).

1074328965 is a wasteful number, since it uses less digits than its factorization.

1074328965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2071 counting only the distinct ones).

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

The square root of 1074328965 is about 32776.9578362605. The cubic root of 1074328965 is about 1024.1866130870.

The spelling of 1074328965 in words is "one billion, seventy-four million, three hundred twenty-eight thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 971 1035 1069 2913 3207 4855 5345 8739 9621 14565 16035 22333 24587 43695 48105 66999 73761 111665 122935 200997 221283 334995 368805 1004985 1037999 1106415 3113997 5189995 9341991 15569985 23873977 46709955 71621931 119369885 214865793 358109655 1074328965