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1079440164 = 2232114759983
BaseRepresentation
bin100000001010110…
…1111001100100100
32210020011020112100
41000111233030210
54202314041124
6255040052100
735515042605
oct10025571444
92706136470
101079440164
11504352410
12261604030
131428327ba
14a3509dac
1564b741c9
hex4056f324

1079440164 has 144 divisors (see below), whose sum is σ = 3094640640. Its totient is φ = 314397120.

The previous prime is 1079440157. The next prime is 1079440171. The reversal of 1079440164 is 4610449701.

1079440164 is a `hidden beast` number, since 107 + 94 + 401 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (1079440157) and next prime (1079440171).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1097617 + ... + 1098599.

It is an arithmetic number, because the mean of its divisors is an integer number (21490560).

Almost surely, 21079440164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1079440164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547320320).

1079440164 is an abundant number, since it is smaller than the sum of its proper divisors (2015200476).

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

1079440164 is a wasteful number, since it uses less digits than its factorization.

1079440164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1079440164 is about 32854.8347127177. The cubic root of 1079440164 is about 1025.8082584591.

Adding to 1079440164 its reverse (4610449701), we get a palindrome (5689889865).

The spelling of 1079440164 in words is "one billion, seventy-nine million, four hundred forty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 59 66 94 99 118 132 141 177 188 198 236 282 354 396 423 517 531 564 649 708 846 983 1034 1062 1298 1551 1692 1947 1966 2068 2124 2596 2773 2949 3102 3894 3932 4653 5546 5841 5898 6204 7788 8319 8847 9306 10813 11092 11682 11796 16638 17694 18612 21626 23364 24957 30503 32439 33276 35388 43252 46201 49914 57997 61006 64878 91509 92402 97317 99828 115994 122012 129756 138603 173991 183018 184804 194634 231988 274527 277206 347982 366036 389268 415809 508211 521973 549054 554412 637967 695964 831618 1016422 1043946 1098108 1275934 1524633 1663236 1913901 2032844 2087892 2551868 2725859 3049266 3827802 4573899 5451718 5741703 6098532 7655604 8177577 9147798 10903436 11483406 16355154 18295596 22966812 24532731 29984449 32710308 49065462 59968898 89953347 98130924 119937796 179906694 269860041 359813388 539720082 1079440164