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1388667168 = 253271740519
BaseRepresentation
bin101001011000101…
…0110000100100000
310120210000121020100
41102301112010200
510320444322133
6345443542400
746261322220
oct12261260440
93523017210
101388667168
11652959219
1232908aa00
13191911365
14d2602080
1581da6e13
hex52c56120

1388667168 has 144 divisors (see below), whose sum is σ = 4778766720. Its totient is φ = 373413888.

The previous prime is 1388667127. The next prime is 1388667169. The reversal of 1388667168 is 8617668831.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13886671682 = 3856793006962280448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1388667169) 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 23 ways as a sum of consecutive naturals, for example, 14013 + ... + 54531.

It is an arithmetic number, because the mean of its divisors is an integer number (33185880).

Almost surely, 21388667168 is an apocalyptic number.

1388667168 is a gapful number since it is divisible by the number (18) 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 1388667168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389383360).

1388667168 is an abundant number, since it is smaller than the sum of its proper divisors (3390099552).

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

1388667168 is a wasteful number, since it uses less digits than its factorization.

1388667168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40559 (or 40548 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 1388667168 is about 37264.8248083900. The cubic root of 1388667168 is about 1115.6622094032.

The spelling of 1388667168 in words is "one billion, three hundred eighty-eight million, six hundred sixty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 4284 4896 5712 8568 11424 17136 34272 40519 81038 121557 162076 243114 283633 324152 364671 486228 567266 648304 688823 729342 850899 972456 1134532 1296608 1377646 1458684 1701798 1944912 2066469 2269064 2552697 2755292 2917368 3403596 3889824 4132938 4538128 4821761 5105394 5510584 5834736 6199407 6807192 8265876 9076256 9643522 10210788 11021168 11669472 12398814 13614384 14465283 16531752 19287044 20421576 22042336 24797628 27228768 28930566 33063504 38574088 40843152 43395849 49595256 57861132 66127008 77148176 81686304 86791698 99190512 115722264 154296352 173583396 198381024 231444528 347166792 462889056 694333584 1388667168