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1168052704 = 25713372293
BaseRepresentation
bin100010110011111…
…0001000111100000
310000101220020002021
41011213301013200
54343010141304
6311523231224
740642166320
oct10547610740
93011806067
101168052704
1154a376315
12287218514
13157cba060
14b11b5280
156c829a54
hex459f11e0

1168052704 has 144 divisors (see below), whose sum is σ = 2918770848. Its totient is φ = 448063488.

The previous prime is 1168052701. The next prime is 1168052707. The reversal of 1168052704 is 4072508611.

It is an interprime number because it is at equal distance from previous prime (1168052701) and next prime (1168052707).

It is a self number, because there is not a number n which added to its sum of digits gives 1168052704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1168052701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3986382 + ... + 3986674.

It is an arithmetic number, because the mean of its divisors is an integer number (20269242).

Almost surely, 21168052704 is an apocalyptic number.

1168052704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1168052704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459385424).

1168052704 is an abundant number, since it is smaller than the sum of its proper divisors (1750718144).

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

1168052704 is a wasteful number, since it uses less digits than its factorization.

1168052704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 1168052704 is about 34176.7860396498. The cubic root of 1168052704 is about 1053.1433255875.

The spelling of 1168052704 in words is "one billion, one hundred sixty-eight million, fifty-two thousand, seven hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 37 52 56 74 91 104 112 148 182 208 224 259 293 296 364 416 481 518 586 592 728 962 1036 1172 1184 1369 1456 1924 2051 2072 2344 2738 2912 3367 3809 3848 4102 4144 4688 5476 6734 7618 7696 8204 8288 9376 9583 10841 10952 13468 15236 15392 16408 17797 19166 21682 21904 26663 26936 30472 32816 35594 38332 43364 43808 53326 53872 60944 65632 71188 75887 76664 86728 106652 107744 121888 124579 140933 142376 151774 153328 173456 213304 249158 281866 284752 303548 306656 346912 401117 426608 498316 563732 569504 607096 802234 853216 986531 996632 1127464 1214192 1604468 1973062 1993264 2254928 2428384 2807819 3208936 3946124 3986528 4509856 5214521 5615638 6417872 7892248 10429042 11231276 12835744 15784496 20858084 22462552 31568992 36501647 41716168 44925104 73003294 83432336 89850208 146006588 166864672 292013176 584026352 1168052704