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1023648696 = 233273835303
BaseRepresentation
bin111101000000111…
…010001110111000
32122100011202000200
4331000322032320
54044023224241
6245324202200
734236604350
oct7500721670
92570152020
101023648696
11485906464
12246999360
131340ca2b5
1499d45b60
155ed034b6
hex3d03a3b8

1023648696 has 96 divisors (see below), whose sum is σ = 3177308160. Its totient is φ = 291652416.

The previous prime is 1023648683. The next prime is 1023648701. The reversal of 1023648696 is 6968463201.

1023648696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190381 + ... + 195683.

It is an arithmetic number, because the mean of its divisors is an integer number (33096960).

Almost surely, 21023648696 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 1023648696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588654080).

1023648696 is an abundant number, since it is smaller than the sum of its proper divisors (2153659464).

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

1023648696 is a wasteful number, since it uses less digits than its factorization.

1023648696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5705 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 1023648696 is about 31994.5104041303. The cubic root of 1023648696 is about 1007.8215623299.

The spelling of 1023648696 in words is "one billion, twenty-three million, six hundred forty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 383 504 766 1149 1532 2298 2681 3064 3447 4596 5303 5362 6894 8043 9192 10606 10724 13788 15909 16086 21212 21448 24129 27576 31818 32172 37121 42424 47727 48258 63636 64344 74242 95454 96516 111363 127272 148484 190908 193032 222726 296968 334089 381816 445452 668178 890904 1336356 2031049 2672712 4062098 6093147 8124196 12186294 14217343 16248392 18279441 24372588 28434686 36558882 42652029 48745176 56869372 73117764 85304058 113738744 127956087 146235528 170608116 255912174 341216232 511824348 1023648696