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1036312056 = 23341329463
BaseRepresentation
bin111101110001001…
…101110111111000
32200020000002220000
4331301031313320
54110243441211
6250455433000
734452335643
oct7561156770
92606002800
101036312056
11491a7564a
1224b085760
13136912200
149b8c0a5a
1560ea5656
hex3dc4ddf8

1036312056 has 120 divisors (see below), whose sum is σ = 3143420280. Its totient is φ = 318831552.

The previous prime is 1036312037. The next prime is 1036312063. The reversal of 1036312056 is 6502136301.

1036312056 is a `hidden beast` number, since 1 + 0 + 3 + 631 + 20 + 5 + 6 = 666.

It is a super-3 number, since 3×10363120563 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 104781 + ... + 114243.

It is an arithmetic number, because the mean of its divisors is an integer number (26195169).

Almost surely, 21036312056 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 1036312056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571710140).

1036312056 is an abundant number, since it is smaller than the sum of its proper divisors (2107108224).

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

1036312056 is a wasteful number, since it uses less digits than its factorization.

1036312056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9507 (or 9481 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1036312056 is about 32191.8010679738. The cubic root of 1036312056 is about 1011.9603972483.

Adding to 1036312056 its reverse (6502136301), we get a palindrome (7538448357).

The spelling of 1036312056 in words is "one billion, thirty-six million, three hundred twelve thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 169 216 234 312 324 338 351 468 507 648 676 702 936 1014 1053 1352 1404 1521 2028 2106 2808 3042 4056 4212 4563 6084 8424 9126 9463 12168 13689 18252 18926 27378 28389 36504 37852 54756 56778 75704 85167 109512 113556 123019 170334 227112 246038 255501 340668 369057 492076 511002 681336 738114 766503 984152 1022004 1107171 1476228 1533006 1599247 2044008 2214342 2952456 3066012 3198494 3321513 4428684 4797741 6132024 6396988 6643026 8857368 9595482 9964539 12793976 13286052 14393223 19190964 19929078 26572104 28786446 38381928 39858156 43179669 57572892 79716312 86359338 115145784 129539007 172718676 259078014 345437352 518156028 1036312056